What is the Least Common Multiple of 86625 and 86631?

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 of 86625 and 86631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86625 and 86631, than apply into the LCM equation.

GCF(86625,86631) = 3
LCM(86625,86631) = ( 86625 × 86631) / 3
LCM(86625,86631) = 7504410375 / 3
LCM(86625,86631) = 2501470125

Least Common Multiple (LCM) of 86625 and 86631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86625 and 86631. First we will calculate the prime factors of 86625 and 86631.

Prime Factorization of 86625

Prime Factorization of 86631

Now multiplying the highest exponent prime factors to calculate the LCM of 86625 and 86631.

LCM(86625,86631) = 3² × 5³ × 7¹ × 11¹ × 67¹ × 431¹
LCM(86625,86631) = 2501470125