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What is the Least Common Multiple of 79372 and 79379?

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 79372 and 79379 is 6300469988.

LCM(79372,79379) = 6300469988

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Least Common Multiple of 79372 and 79379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79372 and 79379, than apply into the LCM equation.

GCF(79372,79379) = 1
LCM(79372,79379) = ( 79372 × 79379) / 1
LCM(79372,79379) = 6300469988 / 1
LCM(79372,79379) = 6300469988

Least Common Multiple (LCM) of 79372 and 79379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79372 and 79379. First we will calculate the prime factors of 79372 and 79379.

Prime Factorization of 79372

Prime factors of 79372 are 2, 19843. Prime factorization of 79372 in exponential form is:

79372 = 22 × 198431

Prime Factorization of 79379

Prime factors of 79379 are 79379. Prime factorization of 79379 in exponential form is:

79379 = 793791

Now multiplying the highest exponent prime factors to calculate the LCM of 79372 and 79379.

LCM(79372,79379) = 22 × 198431 × 793791
LCM(79372,79379) = 6300469988