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When will A and B meet?

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Least common multiple of sequence of integers

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#number-theory #elementary-number-theory #asymptotics #least-common-multiple
86
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Least Common Multiple of Specific Sequence

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101
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How do i solve this system : $\operatorname{lcm}(a,b)=8160, \gcd(a,b)=5$? with integers $a, b >5 $?

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#elementary-number-theory #gcd-and-lcm #least-common-multiple
338
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Find $x,y,z$ such that $6x+15y+20z=17$

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54
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For which $n$ is the number of such pairs $x,y$ with $\operatorname{lcm}(x,y)=n!$,$\gcd{(x,y)}=1998$

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#elementary-number-theory #prime-factorization #gcd-and-lcm #least-common-multiple
55
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Transforming equations that are rational to quadratics and finding the roots

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#proof-verification #quadratics #rational-numbers #least-common-multiple
162
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Smallest approximate common multiples

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475
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Prove $\text{lcm}(a,b,c) = \frac{a \cdot b \cdot c \cdot \gcd(a,b,c)}{\gcd(a,b)\gcd(b,c)\gcd(a,c)}$

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#elementary-number-theory #integers #gcd-and-lcm #least-common-multiple
129
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A relation between gcd and lcm

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#elementary-number-theory #divisibility #gcd-and-lcm #least-common-multiple
5k
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Alternate proof for GCD × LCM = product

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#elementary-number-theory #factoring #gcd-and-lcm #least-common-multiple
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Finding largest 4 digit number divisible by certain numbers.

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159
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Relevancy to GCD and LCM

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86
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Fore some co-prime's m, n and some integer a given gcd(a, mn) = 1, prove the following...

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#modular-arithmetic #gcd-and-lcm #least-common-multiple
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How to show that LCM and GCD of any two elements of a set lies in the set?

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