What is the Least Common Multiple of 86625 and 86640?

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 86640 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 86640, than apply into the LCM equation.

GCF(86625,86640) = 15
LCM(86625,86640) = ( 86625 × 86640) / 15
LCM(86625,86640) = 7505190000 / 15
LCM(86625,86640) = 500346000

Least Common Multiple (LCM) of 86625 and 86640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86625 and 86640. First we will calculate the prime factors of 86625 and 86640.

Prime Factorization of 86625

Prime Factorization of 86640

Now multiplying the highest exponent prime factors to calculate the LCM of 86625 and 86640.

LCM(86625,86640) = 3² × 5³ × 7¹ × 11¹ × 2⁴ × 19²
LCM(86625,86640) = 500346000