Question

If $m=\operatorname{lcm}(a,b)$ then $\gcd(\frac{m}{a},\frac{m}{b})=1$

score 504 · Answer 1 · 2017-02-03 04:53:19

504

Views

If $m=\operatorname{lcm}(a,b)$ then $\gcd(\frac{m}{a},\frac{m}{b})=1$

Published on 03 Feb 2017 - 4:53

score 59 · Answer 2 · 2017-02-12 05:23:31

59

Views

Why $[3,-1]$ is $-3$?

Published on 12 Feb 2017 - 5:23

score 1.2k · Answer 3 · 2017-02-12 20:02:38

1.2k

Views

Let $a$ and $b$ be positive integers. Prove that $(a,b)|[a,b]$.

Published on 12 Feb 2017 - 20:02

score 1.7k · Answer 4 · 2017-02-17 23:08:52

1.7k

Views

find and prove the necessary and sufficient condition in which (a,b)=[a,b]

Published on 17 Feb 2017 - 23:08

score 146 · Answer 5 · 2017-02-18 21:57:31

146

Views

Distribution and expected value of a random infinite series $\sum_{n \geq 1} \frac{1}{(\text{lcm} (n,r_n))^2}$

Published on 18 Feb 2017 - 21:57

score 212 · Answer 6 · 2017-02-19 00:02:33

212

Views

Is there a closed form for the double sum $\sum_{n,k} \frac{1}{\text{lcm}^3 (n,k)}$

Published on 19 Feb 2017 - 0:02

score 193 · Answer 7 · 2017-02-19 09:56:03

193

Views

Why is the distribution bimodal for the random sum $\sum_{n \geq 1} \frac{1}{\text{lcm}^2 (p_n,r_n)}$?

Published on 19 Feb 2017 - 9:56

score 778 · Answer 8 · 2017-02-19 21:13:11

778

Views

Prove that the characteristic of the direct sum of $n$ rings is equal to the lcm of the characteristics

Published on 19 Feb 2017 - 21:13

score 46 · Answer 9 · 2017-03-01 21:17:31

46

Views

How do I show that there are integers $x, y$ with $[a, b]$ = $ax + by$

Published on 01 Mar 2017 - 21:17

score 199 · Answer 10 · 2017-03-02 18:32:04

199

Views

Prove that if LCMs are equal, then the numbers are equal too.

Published on 02 Mar 2017 - 18:32

score 356 · Answer 11 · 2017-03-04 14:51:30

356

Views

Explain Least Common Multiple problem to an 11 year old i.e. without number theory or brute force

Published on 04 Mar 2017 - 14:51

score 575 · Answer 12 · 2017-03-26 12:18:19

575

Views

Characterization of least common multiple

Published on 26 Mar 2017 - 12:18

score 3.7k · Answer 13 · 2017-04-03 20:58:43

3.7k

Views

Is the lowest common multiple of two odd numbers, an odd number?

Published on 03 Apr 2017 - 20:58

score 103 · Answer 14 · 2017-04-05 12:04:17

103

Views

Is $lcm( lcm(n_1, n_2, ..., n_m), n_{m+1}) = lcm(n_1, n_2, ..., n_m, n_{m+1})$?

Published on 05 Apr 2017 - 12:04

score 1.6k · Answer 15 · 2015-01-04 18:40:13

1.6k

Views

How many number between 1 and 1000 satisfy a certain condition?

Published on 04 Jan 2015 - 18:40

List Question

If $m=\operatorname{lcm}(a,b)$ then $\gcd(\frac{m}{a},\frac{m}{b})=1$

Why $[3,-1]$ is $-3$?

Let $a$ and $b$ be positive integers. Prove that $(a,b)|[a,b]$.

find and prove the necessary and sufficient condition in which (a,b)=[a,b]

Distribution and expected value of a random infinite series $\sum_{n \geq 1} \frac{1}{(\text{lcm} (n,r_n))^2}$

Is there a closed form for the double sum $\sum_{n,k} \frac{1}{\text{lcm}^3 (n,k)}$

Why is the distribution bimodal for the random sum $\sum_{n \geq 1} \frac{1}{\text{lcm}^2 (p_n,r_n)}$?

Prove that the characteristic of the direct sum of $n$ rings is equal to the lcm of the characteristics

How do I show that there are integers $x, y$ with $[a, b]$ = $ax + by$

Prove that if LCMs are equal, then the numbers are equal too.

Explain Least Common Multiple problem to an 11 year old i.e. without number theory or brute force

Characterization of least common multiple

Is the lowest common multiple of two odd numbers, an odd number?

Is $lcm( lcm(n_1, n_2, ..., n_m), n_{m+1}) = lcm(n_1, n_2, ..., n_m, n_{m+1})$?

How many number between 1 and 1000 satisfy a certain condition?

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