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What is the Least Common Multiple of 88391 and 88397?

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 88391 and 88397 is 7813499227.

LCM(88391,88397) = 7813499227

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Least Common Multiple of 88391 and 88397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88391 and 88397, than apply into the LCM equation.

GCF(88391,88397) = 1
LCM(88391,88397) = ( 88391 × 88397) / 1
LCM(88391,88397) = 7813499227 / 1
LCM(88391,88397) = 7813499227

Least Common Multiple (LCM) of 88391 and 88397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88391 and 88397. First we will calculate the prime factors of 88391 and 88397.

Prime Factorization of 88391

Prime factors of 88391 are 157, 563. Prime factorization of 88391 in exponential form is:

88391 = 1571 × 5631

Prime Factorization of 88397

Prime factors of 88397 are 88397. Prime factorization of 88397 in exponential form is:

88397 = 883971

Now multiplying the highest exponent prime factors to calculate the LCM of 88391 and 88397.

LCM(88391,88397) = 1571 × 5631 × 883971
LCM(88391,88397) = 7813499227