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What is the Least Common Multiple of 88639 and 88653?

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 88639 and 88653 is 7858113267.

LCM(88639,88653) = 7858113267

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Least Common Multiple of 88639 and 88653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88639 and 88653, than apply into the LCM equation.

GCF(88639,88653) = 1
LCM(88639,88653) = ( 88639 × 88653) / 1
LCM(88639,88653) = 7858113267 / 1
LCM(88639,88653) = 7858113267

Least Common Multiple (LCM) of 88639 and 88653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88639 and 88653. First we will calculate the prime factors of 88639 and 88653.

Prime Factorization of 88639

Prime factors of 88639 are 137, 647. Prime factorization of 88639 in exponential form is:

88639 = 1371 × 6471

Prime Factorization of 88653

Prime factors of 88653 are 3, 29, 1019. Prime factorization of 88653 in exponential form is:

88653 = 31 × 291 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 88639 and 88653.

LCM(88639,88653) = 1371 × 6471 × 31 × 291 × 10191
LCM(88639,88653) = 7858113267