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What is the Least Common Multiple of 65651 and 65659?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 65651 and 65659 is 4310579009.

LCM(65651,65659) = 4310579009

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Least Common Multiple of 65651 and 65659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65651 and 65659, than apply into the LCM equation.

GCF(65651,65659) = 1
LCM(65651,65659) = ( 65651 × 65659) / 1
LCM(65651,65659) = 4310579009 / 1
LCM(65651,65659) = 4310579009

Least Common Multiple (LCM) of 65651 and 65659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65651 and 65659. First we will calculate the prime factors of 65651 and 65659.

Prime Factorization of 65651

Prime factors of 65651 are 65651. Prime factorization of 65651 in exponential form is:

65651 = 656511

Prime Factorization of 65659

Prime factors of 65659 are 11, 47, 127. Prime factorization of 65659 in exponential form is:

65659 = 111 × 471 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 65651 and 65659.

LCM(65651,65659) = 656511 × 111 × 471 × 1271
LCM(65651,65659) = 4310579009