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What is the Least Common Multiple of 86663 and 86675?

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 86663 and 86675 is 7511515525.

LCM(86663,86675) = 7511515525

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Least Common Multiple of 86663 and 86675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86663 and 86675, than apply into the LCM equation.

GCF(86663,86675) = 1
LCM(86663,86675) = ( 86663 × 86675) / 1
LCM(86663,86675) = 7511515525 / 1
LCM(86663,86675) = 7511515525

Least Common Multiple (LCM) of 86663 and 86675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86663 and 86675. First we will calculate the prime factors of 86663 and 86675.

Prime Factorization of 86663

Prime factors of 86663 are 79, 1097. Prime factorization of 86663 in exponential form is:

86663 = 791 × 10971

Prime Factorization of 86675

Prime factors of 86675 are 5, 3467. Prime factorization of 86675 in exponential form is:

86675 = 52 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 86663 and 86675.

LCM(86663,86675) = 791 × 10971 × 52 × 34671
LCM(86663,86675) = 7511515525