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What is the Least Common Multiple of 88647 and 88651?

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 88647 and 88651 is 7858645197.

LCM(88647,88651) = 7858645197

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Least Common Multiple of 88647 and 88651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88647 and 88651, than apply into the LCM equation.

GCF(88647,88651) = 1
LCM(88647,88651) = ( 88647 × 88651) / 1
LCM(88647,88651) = 7858645197 / 1
LCM(88647,88651) = 7858645197

Least Common Multiple (LCM) of 88647 and 88651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88647 and 88651. First we will calculate the prime factors of 88647 and 88651.

Prime Factorization of 88647

Prime factors of 88647 are 3, 13, 2273. Prime factorization of 88647 in exponential form is:

88647 = 31 × 131 × 22731

Prime Factorization of 88651

Prime factors of 88651 are 88651. Prime factorization of 88651 in exponential form is:

88651 = 886511

Now multiplying the highest exponent prime factors to calculate the LCM of 88647 and 88651.

LCM(88647,88651) = 31 × 131 × 22731 × 886511
LCM(88647,88651) = 7858645197