What is the Least Common Multiple of 86625 and 86629?

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 86629 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 86629, than apply into the LCM equation.

GCF(86625,86629) = 1
LCM(86625,86629) = ( 86625 × 86629) / 1
LCM(86625,86629) = 7504237125 / 1
LCM(86625,86629) = 7504237125

Least Common Multiple (LCM) of 86625 and 86629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86625 and 86629. First we will calculate the prime factors of 86625 and 86629.

Prime Factorization of 86625

Prime Factorization of 86629

Now multiplying the highest exponent prime factors to calculate the LCM of 86625 and 86629.

LCM(86625,86629) = 3² × 5³ × 7¹ × 11¹ × 86629¹
LCM(86625,86629) = 7504237125