What is the Least Common Multiple of 88632 and 88647?

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 88632 and 88647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88632 and 88647, than apply into the LCM equation.

GCF(88632,88647) = 3
LCM(88632,88647) = ( 88632 × 88647) / 3
LCM(88632,88647) = 7856960904 / 3
LCM(88632,88647) = 2618986968

Least Common Multiple (LCM) of 88632 and 88647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88632 and 88647. First we will calculate the prime factors of 88632 and 88647.

Prime Factorization of 88632

Prime Factorization of 88647

Now multiplying the highest exponent prime factors to calculate the LCM of 88632 and 88647.

LCM(88632,88647) = 2³ × 3² × 1231¹ × 13¹ × 2273¹
LCM(88632,88647) = 2618986968