What is the Least Common Multiple of 86624 and 86628?

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 86624 and 86628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86624 and 86628, than apply into the LCM equation.

GCF(86624,86628) = 4
LCM(86624,86628) = ( 86624 × 86628) / 4
LCM(86624,86628) = 7504063872 / 4
LCM(86624,86628) = 1876015968

Least Common Multiple (LCM) of 86624 and 86628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86624 and 86628. First we will calculate the prime factors of 86624 and 86628.

Prime Factorization of 86624

Prime Factorization of 86628

Now multiplying the highest exponent prime factors to calculate the LCM of 86624 and 86628.

LCM(86624,86628) = 2⁵ × 2707¹ × 3¹ × 7219¹
LCM(86624,86628) = 1876015968