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What is the Least Common Multiple of 86637 and 86645?

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 86637 and 86645 is 7506662865.

LCM(86637,86645) = 7506662865

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Least Common Multiple of 86637 and 86645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86637 and 86645, than apply into the LCM equation.

GCF(86637,86645) = 1
LCM(86637,86645) = ( 86637 × 86645) / 1
LCM(86637,86645) = 7506662865 / 1
LCM(86637,86645) = 7506662865

Least Common Multiple (LCM) of 86637 and 86645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86637 and 86645. First we will calculate the prime factors of 86637 and 86645.

Prime Factorization of 86637

Prime factors of 86637 are 3, 28879. Prime factorization of 86637 in exponential form is:

86637 = 31 × 288791

Prime Factorization of 86645

Prime factors of 86645 are 5, 13, 31, 43. Prime factorization of 86645 in exponential form is:

86645 = 51 × 131 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 86637 and 86645.

LCM(86637,86645) = 31 × 288791 × 51 × 131 × 311 × 431
LCM(86637,86645) = 7506662865