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Calculating the least common multiple of $n$ numbers, knowing the LCM of $(n-1)$ of them

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#elementary-number-theory #algorithms #least-common-multiple
143
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GCD and LCM trouble

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#elementary-number-theory #contest-math #gcd-and-lcm #least-common-multiple
142
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$w = ax = by$ over the nonzero integers $\implies w = \pm\text{lcm}(a,b)\gcd(x,y)$.

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#elementary-number-theory #proof-verification #gcd-and-lcm #least-common-multiple
629
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Proving ${\rm gcd}(a,b)=1$, $a\mid c$ and $b\mid c$ implies $ab\mid c$ WITHOUT Euclid's or Bezout's lemma.

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#number-theory #elementary-number-theory #divisibility #gcd-and-lcm #least-common-multiple
294
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How to prove by induction the formula to find LCM of two numbers for multiple numbers?

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#elementary-number-theory #least-common-multiple
494
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Prove that $lcm(a , b) = \prod_{i=1} (P_i)^{\max(\alpha_i,\beta_i)}$

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#number-theory #prime-numbers #least-common-multiple
668
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Find $\operatorname{lcm}(2n-1,2n+1)$

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#elementary-number-theory #gcd-and-lcm #euclidean-algorithm #least-common-multiple
218
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Solve for $A,B$: $\mathrm{LCM}(A,B)=168$, $\mathrm{HCF(A,B)}=12$

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#elementary-number-theory #factoring #gcd-and-lcm #least-common-multiple
207
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Is this true :$\zeta(s-1)=\sum_{n=1}^{\infty}\frac{\gcd(n,n)}{{\operatorname{lcm}(n,n)}^{s}}$?

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#divisibility #riemann-zeta #gcd-and-lcm #least-common-multiple
4.8k
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How to find lcm of $\frac{\pi}{5}$ and $\frac{\pi}{2}$ ? With paper pencil approach

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#discrete-mathematics #least-common-multiple
1.6k
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How do I solve the system of congruences $x \equiv 1 \pmod{3}$, $x \equiv 2 \pmod{4}$, $x \equiv 4 \pmod{5}$, $x \equiv 2 \pmod{7}$?

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#elementary-number-theory #modular-arithmetic #systems-of-equations #congruences #least-common-multiple
1.1k
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Number of factors in the smallest number possible.

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#least-common-multiple
1.5k
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Euler function and least common multiple

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#totient-function #least-common-multiple
12.3k
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The lowest number that is a multiple of both 60 and the integer n is 180. Find the smallest possible value of n.

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#prime-numbers #prime-factorization #gcd-and-lcm #least-common-multiple
149
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A questionable proof that $Z(S_n)$ is trivial for $n\ge 3$.

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#abstract-algebra #group-theory #proof-verification #symmetric-groups #least-common-multiple

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