What is the Least Common Multiple of 88632 and 88646?

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 88646 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 88646, than apply into the LCM equation.

GCF(88632,88646) = 2
LCM(88632,88646) = ( 88632 × 88646) / 2
LCM(88632,88646) = 7856872272 / 2
LCM(88632,88646) = 3928436136

Least Common Multiple (LCM) of 88632 and 88646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88632 and 88646. First we will calculate the prime factors of 88632 and 88646.

Prime Factorization of 88632

Prime Factorization of 88646

Now multiplying the highest exponent prime factors to calculate the LCM of 88632 and 88646.

LCM(88632,88646) = 2³ × 3² × 1231¹ × 127¹ × 349¹
LCM(88632,88646) = 3928436136