What is the Least Common Multiple of 44088 and 44099?

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 44088 and 44099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44088 and 44099, than apply into the LCM equation.

GCF(44088,44099) = 11
LCM(44088,44099) = ( 44088 × 44099) / 11
LCM(44088,44099) = 1944236712 / 11
LCM(44088,44099) = 176748792

Least Common Multiple (LCM) of 44088 and 44099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44088 and 44099. First we will calculate the prime factors of 44088 and 44099.

Prime Factorization of 44088

Prime Factorization of 44099

Now multiplying the highest exponent prime factors to calculate the LCM of 44088 and 44099.

LCM(44088,44099) = 2³ × 3¹ × 11¹ × 167¹ × 19¹ × 211¹
LCM(44088,44099) = 176748792