Question

Derive the identity elements of lcm and gcd

score 1.6k · Answer 1 · 2026-03-22 07:44:33

1.6k

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Derive the identity elements of lcm and gcd

Published on 22 Mar 2026 - 7:44

score 103 · Answer 2 · 2026-03-22 03:40:57

103

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Question regarding $C(n)$ and $B(n)$ in Hanson's proof that $\prod\limits_{p^a \le n} p < 3^n$

Published on 22 Mar 2026 - 3:40

score 95 · Answer 3 · 2026-03-21 21:01:39

95

Views

Did I find a mistake in a classic proof? If not, could someone help me understand?

Published on 21 Mar 2026 - 21:01

score 111 · Answer 4 · 2026-03-22 14:23:07

111

Views

Not clear in one step in the inequality for the proof LCM$(1,2,\dots,n) < 3^n$

Published on 22 Mar 2026 - 14:23

score 67 · Answer 5 · 2026-03-22 15:34:57

67

Views

Trying to understand a lemma in a math paper on LCM

Published on 22 Mar 2026 - 15:34

score 179 · Answer 6 · 2026-03-21 16:28:41

179

Views

What is the definition of the least common multiple of elements of a group rather than their orders?

Published on 21 Mar 2026 - 16:28

score 210 · Answer 7 · 2026-03-21 22:12:53

210

Views

Why isn't Legendre's Conjecture resolved by the work done by Nair and Hanson in relation to Least Common Multiples?

Published on 21 Mar 2026 - 22:12

score 126 · Answer 8 · 2026-03-21 18:54:14

126

Views

Still unclear why Hanson's proof that $\text{lcm}(1,…,n)<3^n$ is not sufficient to resolve Legendre's Conjecture.

Published on 21 Mar 2026 - 18:54

score 206 · Answer 9 · 2026-03-22 12:42:19

206

Views

Any faster algorithm to find the least common multiple?

Published on 22 Mar 2026 - 12:42

score 87 · Answer 10 · 2026-03-21 23:05:51

87

Views

How to yield lcm between several numbers?

Published on 21 Mar 2026 - 23:05

score 62 · Answer 11 · 2026-03-22 15:21:03

62

Views

Need help with the first step in Theorem 1 of Nair's classic paper on Least Common Multiple

Published on 22 Mar 2026 - 15:21

score 59 · Answer 12 · 2026-03-20 17:44:45

59

Views

Question about integration by parts as used in a previous answer on MSE.

Published on 20 Mar 2026 - 17:44

score 61 · Answer 13 · 2026-03-21 21:21:10

61

Views

I'm not clear why the reasoning that M. Nair used is valid in one of his classic proofs.

Published on 21 Mar 2026 - 21:21

score 70 · Answer 14 · 2026-02-23 05:12:19

70

Views

Prove that, $\textrm{LCM}(\textrm{GCD}(m,x),\textrm{GCD}(n,x)) = \textrm{GCD}(\textrm{LCM}(m,n),x)$

Published on 23 Feb 2026 - 5:12

score 337 · Answer 15 · 2026-04-07 02:33:35

337

Views

Reasoning about factorials: is this equation correct?

Published on 07 Apr 2026 - 2:33

List Question

Derive the identity elements of lcm and gcd

Question regarding $C(n)$ and $B(n)$ in Hanson's proof that $\prod\limits_{p^a \le n} p < 3^n$

Did I find a mistake in a classic proof? If not, could someone help me understand?

Not clear in one step in the inequality for the proof LCM$(1,2,\dots,n) < 3^n$

Trying to understand a lemma in a math paper on LCM

What is the definition of the least common multiple of elements of a group rather than their orders?

Why isn't Legendre's Conjecture resolved by the work done by Nair and Hanson in relation to Least Common Multiples?

Still unclear why Hanson's proof that $\text{lcm}(1,…,n)<3^n$ is not sufficient to resolve Legendre's Conjecture.

Any faster algorithm to find the least common multiple?

How to yield lcm between several numbers?

Need help with the first step in Theorem 1 of Nair's classic paper on Least Common Multiple

Question about integration by parts as used in a previous answer on MSE.

I'm not clear why the reasoning that M. Nair used is valid in one of his classic proofs.

Prove that, $\textrm{LCM}(\textrm{GCD}(m,x),\textrm{GCD}(n,x)) = \textrm{GCD}(\textrm{LCM}(m,n),x)$

Reasoning about factorials: is this equation correct?

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