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What is the Least Common Multiple of 79363 and 79371?

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 79363 and 79371 is 6299120673.

LCM(79363,79371) = 6299120673

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Least Common Multiple of 79363 and 79371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79363 and 79371, than apply into the LCM equation.

GCF(79363,79371) = 1
LCM(79363,79371) = ( 79363 × 79371) / 1
LCM(79363,79371) = 6299120673 / 1
LCM(79363,79371) = 6299120673

Least Common Multiple (LCM) of 79363 and 79371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79363 and 79371. First we will calculate the prime factors of 79363 and 79371.

Prime Factorization of 79363

Prime factors of 79363 are 19, 4177. Prime factorization of 79363 in exponential form is:

79363 = 191 × 41771

Prime Factorization of 79371

Prime factors of 79371 are 3, 8819. Prime factorization of 79371 in exponential form is:

79371 = 32 × 88191

Now multiplying the highest exponent prime factors to calculate the LCM of 79363 and 79371.

LCM(79363,79371) = 191 × 41771 × 32 × 88191
LCM(79363,79371) = 6299120673