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What is the Least Common Multiple of 88637 and 88643?

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 88637 and 88643 is 7857049591.

LCM(88637,88643) = 7857049591

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Least Common Multiple of 88637 and 88643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88637 and 88643, than apply into the LCM equation.

GCF(88637,88643) = 1
LCM(88637,88643) = ( 88637 × 88643) / 1
LCM(88637,88643) = 7857049591 / 1
LCM(88637,88643) = 7857049591

Least Common Multiple (LCM) of 88637 and 88643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88637 and 88643. First we will calculate the prime factors of 88637 and 88643.

Prime Factorization of 88637

Prime factors of 88637 are 151, 587. Prime factorization of 88637 in exponential form is:

88637 = 1511 × 5871

Prime Factorization of 88643

Prime factors of 88643 are 88643. Prime factorization of 88643 in exponential form is:

88643 = 886431

Now multiplying the highest exponent prime factors to calculate the LCM of 88637 and 88643.

LCM(88637,88643) = 1511 × 5871 × 886431
LCM(88637,88643) = 7857049591