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What is the Least Common Multiple of 79537 and 79549?

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 79537 and 79549 is 6327088813.

LCM(79537,79549) = 6327088813

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Least Common Multiple of 79537 and 79549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79537 and 79549, than apply into the LCM equation.

GCF(79537,79549) = 1
LCM(79537,79549) = ( 79537 × 79549) / 1
LCM(79537,79549) = 6327088813 / 1
LCM(79537,79549) = 6327088813

Least Common Multiple (LCM) of 79537 and 79549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79537 and 79549. First we will calculate the prime factors of 79537 and 79549.

Prime Factorization of 79537

Prime factors of 79537 are 79537. Prime factorization of 79537 in exponential form is:

79537 = 795371

Prime Factorization of 79549

Prime factors of 79549 are 79549. Prime factorization of 79549 in exponential form is:

79549 = 795491

Now multiplying the highest exponent prime factors to calculate the LCM of 79537 and 79549.

LCM(79537,79549) = 795371 × 795491
LCM(79537,79549) = 6327088813