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What is the Least Common Multiple of 79379 and 79385?

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 79379 and 79385 is 6301501915.

LCM(79379,79385) = 6301501915

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Least Common Multiple of 79379 and 79385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79379 and 79385, than apply into the LCM equation.

GCF(79379,79385) = 1
LCM(79379,79385) = ( 79379 × 79385) / 1
LCM(79379,79385) = 6301501915 / 1
LCM(79379,79385) = 6301501915

Least Common Multiple (LCM) of 79379 and 79385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79379 and 79385. First we will calculate the prime factors of 79379 and 79385.

Prime Factorization of 79379

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

79379 = 793791

Prime Factorization of 79385

Prime factors of 79385 are 5, 15877. Prime factorization of 79385 in exponential form is:

79385 = 51 × 158771

Now multiplying the highest exponent prime factors to calculate the LCM of 79379 and 79385.

LCM(79379,79385) = 793791 × 51 × 158771
LCM(79379,79385) = 6301501915