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What is the Least Common Multiple of 88087 and 88096?

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 88087 and 88096 is 7760112352.

LCM(88087,88096) = 7760112352

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Least Common Multiple of 88087 and 88096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88087 and 88096, than apply into the LCM equation.

GCF(88087,88096) = 1
LCM(88087,88096) = ( 88087 × 88096) / 1
LCM(88087,88096) = 7760112352 / 1
LCM(88087,88096) = 7760112352

Least Common Multiple (LCM) of 88087 and 88096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88087 and 88096. First we will calculate the prime factors of 88087 and 88096.

Prime Factorization of 88087

Prime factors of 88087 are 59, 1493. Prime factorization of 88087 in exponential form is:

88087 = 591 × 14931

Prime Factorization of 88096

Prime factors of 88096 are 2, 2753. Prime factorization of 88096 in exponential form is:

88096 = 25 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 88087 and 88096.

LCM(88087,88096) = 591 × 14931 × 25 × 27531
LCM(88087,88096) = 7760112352