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What is the Least Common Multiple of 86651 and 86659?

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 86651 and 86659 is 7509089009.

LCM(86651,86659) = 7509089009

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Least Common Multiple of 86651 and 86659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86651 and 86659, than apply into the LCM equation.

GCF(86651,86659) = 1
LCM(86651,86659) = ( 86651 × 86659) / 1
LCM(86651,86659) = 7509089009 / 1
LCM(86651,86659) = 7509089009

Least Common Multiple (LCM) of 86651 and 86659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86651 and 86659. First we will calculate the prime factors of 86651 and 86659.

Prime Factorization of 86651

Prime factors of 86651 are 73, 1187. Prime factorization of 86651 in exponential form is:

86651 = 731 × 11871

Prime Factorization of 86659

Prime factors of 86659 are 19, 4561. Prime factorization of 86659 in exponential form is:

86659 = 191 × 45611

Now multiplying the highest exponent prime factors to calculate the LCM of 86651 and 86659.

LCM(86651,86659) = 731 × 11871 × 191 × 45611
LCM(86651,86659) = 7509089009