What is the Least Common Multiple of 88566 and 88572?

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 88566 and 88572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88566 and 88572, than apply into the LCM equation.

GCF(88566,88572) = 6
LCM(88566,88572) = ( 88566 × 88572) / 6
LCM(88566,88572) = 7844467752 / 6
LCM(88566,88572) = 1307411292

Least Common Multiple (LCM) of 88566 and 88572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88566 and 88572. First we will calculate the prime factors of 88566 and 88572.

Prime Factorization of 88566

Prime Factorization of 88572

Now multiplying the highest exponent prime factors to calculate the LCM of 88566 and 88572.

LCM(88566,88572) = 2² × 3¹ × 29¹ × 509¹ × 11² × 61¹
LCM(88566,88572) = 1307411292