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What is the Least Common Multiple of 79522 and 79539?

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 79522 and 79539 is 6325100358.

LCM(79522,79539) = 6325100358

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Least Common Multiple of 79522 and 79539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79522 and 79539, than apply into the LCM equation.

GCF(79522,79539) = 1
LCM(79522,79539) = ( 79522 × 79539) / 1
LCM(79522,79539) = 6325100358 / 1
LCM(79522,79539) = 6325100358

Least Common Multiple (LCM) of 79522 and 79539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79522 and 79539. First we will calculate the prime factors of 79522 and 79539.

Prime Factorization of 79522

Prime factors of 79522 are 2, 39761. Prime factorization of 79522 in exponential form is:

79522 = 21 × 397611

Prime Factorization of 79539

Prime factors of 79539 are 3, 26513. Prime factorization of 79539 in exponential form is:

79539 = 31 × 265131

Now multiplying the highest exponent prime factors to calculate the LCM of 79522 and 79539.

LCM(79522,79539) = 21 × 397611 × 31 × 265131
LCM(79522,79539) = 6325100358