What is the Least Common Multiple of 88032 and 88041?

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 88032 and 88041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88032 and 88041, than apply into the LCM equation.

GCF(88032,88041) = 3
LCM(88032,88041) = ( 88032 × 88041) / 3
LCM(88032,88041) = 7750425312 / 3
LCM(88032,88041) = 2583475104

Least Common Multiple (LCM) of 88032 and 88041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88032 and 88041. First we will calculate the prime factors of 88032 and 88041.

Prime Factorization of 88032

Prime Factorization of 88041

Now multiplying the highest exponent prime factors to calculate the LCM of 88032 and 88041.

LCM(88032,88041) = 2⁵ × 3¹ × 7¹ × 131¹ × 29347¹
LCM(88032,88041) = 2583475104