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What is the Least Common Multiple of 79525 and 79529?

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 79525 and 79529 is 6324543725.

LCM(79525,79529) = 6324543725

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Least Common Multiple of 79525 and 79529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79525 and 79529, than apply into the LCM equation.

GCF(79525,79529) = 1
LCM(79525,79529) = ( 79525 × 79529) / 1
LCM(79525,79529) = 6324543725 / 1
LCM(79525,79529) = 6324543725

Least Common Multiple (LCM) of 79525 and 79529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79525 and 79529. First we will calculate the prime factors of 79525 and 79529.

Prime Factorization of 79525

Prime factors of 79525 are 5, 3181. Prime factorization of 79525 in exponential form is:

79525 = 52 × 31811

Prime Factorization of 79529

Prime factors of 79529 are 67, 1187. Prime factorization of 79529 in exponential form is:

79529 = 671 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 79525 and 79529.

LCM(79525,79529) = 52 × 31811 × 671 × 11871
LCM(79525,79529) = 6324543725