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What is the Least Common Multiple of 88376 and 88393?

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 88376 and 88393 is 7811819768.

LCM(88376,88393) = 7811819768

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Least Common Multiple of 88376 and 88393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88376 and 88393, than apply into the LCM equation.

GCF(88376,88393) = 1
LCM(88376,88393) = ( 88376 × 88393) / 1
LCM(88376,88393) = 7811819768 / 1
LCM(88376,88393) = 7811819768

Least Common Multiple (LCM) of 88376 and 88393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88376 and 88393. First we will calculate the prime factors of 88376 and 88393.

Prime Factorization of 88376

Prime factors of 88376 are 2, 11047. Prime factorization of 88376 in exponential form is:

88376 = 23 × 110471

Prime Factorization of 88393

Prime factors of 88393 are 37, 2389. Prime factorization of 88393 in exponential form is:

88393 = 371 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 88376 and 88393.

LCM(88376,88393) = 23 × 110471 × 371 × 23891
LCM(88376,88393) = 7811819768