What is the Least Common Multiple of 86607 and 86625?

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 86607 and 86625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86607 and 86625, than apply into the LCM equation.

GCF(86607,86625) = 9
LCM(86607,86625) = ( 86607 × 86625) / 9
LCM(86607,86625) = 7502331375 / 9
LCM(86607,86625) = 833592375

Least Common Multiple (LCM) of 86607 and 86625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86607 and 86625. First we will calculate the prime factors of 86607 and 86625.

Prime Factorization of 86607

Prime Factorization of 86625

Now multiplying the highest exponent prime factors to calculate the LCM of 86607 and 86625.

LCM(86607,86625) = 3² × 9623¹ × 5³ × 7¹ × 11¹
LCM(86607,86625) = 833592375