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What is the Least Common Multiple of 79561 and 79571?

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 79561 and 79571 is 6330748331.

LCM(79561,79571) = 6330748331

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Least Common Multiple of 79561 and 79571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79561 and 79571, than apply into the LCM equation.

GCF(79561,79571) = 1
LCM(79561,79571) = ( 79561 × 79571) / 1
LCM(79561,79571) = 6330748331 / 1
LCM(79561,79571) = 6330748331

Least Common Multiple (LCM) of 79561 and 79571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79561 and 79571. First we will calculate the prime factors of 79561 and 79571.

Prime Factorization of 79561

Prime factors of 79561 are 79561. Prime factorization of 79561 in exponential form is:

79561 = 795611

Prime Factorization of 79571

Prime factors of 79571 are 47, 1693. Prime factorization of 79571 in exponential form is:

79571 = 471 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 79561 and 79571.

LCM(79561,79571) = 795611 × 471 × 16931
LCM(79561,79571) = 6330748331