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Let m be the least common multiple of a,b and c be another common multiple. Prove that m divides c.

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#elementary-number-theory #least-common-multiple
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Fastest way to find LCM and HCF of multiple numbers?

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#gcd-and-lcm #least-common-multiple
126
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Find divisors $n_i$ of $a_i$, mutualy coprime, with $\prod n_i=\operatorname{lcm}(a_i)$

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#arithmetic #gcd-and-lcm #computational-mathematics #least-common-multiple
234
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Numerical example for $\gcd(a,b)=\prod p_i^{\min(a_i,b_i)}$

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#elementary-number-theory #gcd-and-lcm #prime-factorization #least-common-multiple
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An isomorphism between $\mathbb Z_n \times \mathbb Z_m$ and $ \mathbb Z_{mn}$

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#group-theory #elementary-number-theory #gcd-and-lcm #group-homomorphism #least-common-multiple
98
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$\gcd$ and $\text{lcm}$ of more than $2$ positive integers

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#proof-explanation #gcd-and-lcm #least-common-multiple
229
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Lower Bound on the Sum of Reciprocal of LCM

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#sequences-and-series #analytic-number-theory #least-common-multiple
598
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Can we invert these analogous "Dirichlet" series for GCD / LCM convolution?

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#abstract-algebra #elementary-number-theory #ring-theory #integers #least-common-multiple
125
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How many marbles?

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#number-theory #diophantine-equations #gcd-and-lcm #euclidean-algorithm #least-common-multiple
121
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Find $\theta\in [0,2\pi]$ if $\theta = \frac{n\pi}{2}$ and $\theta = \frac{2m\pi}{5} + \frac{\pi}{10}$, where $n,m$ are integers

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#algebra-precalculus #trigonometry #least-common-multiple
4.2k
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LCM of even and odd integers

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#least-common-multiple
437
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Finding all pairs of integers satisfying gcd(a,b) = 6 and lcm(a,b)=540

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#number-theory #gcd-and-lcm #least-common-multiple
1.7k
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Using Venn diagram to find HCF and LCM

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#elementary-number-theory #elementary-set-theory #least-common-multiple
1.3k
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Proof that gcd(a,b)*lcm(a,b) = ab (solve only by Bézout's identity)

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#elementary-number-theory #gcd-and-lcm #least-common-multiple
430
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How do i find the lcm

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#prime-numbers #gcd-and-lcm #least-common-multiple

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