What is the Least Common Multiple of 44088 and 44097?

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 44097 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 44097, than apply into the LCM equation.

GCF(44088,44097) = 3
LCM(44088,44097) = ( 44088 × 44097) / 3
LCM(44088,44097) = 1944148536 / 3
LCM(44088,44097) = 648049512

Least Common Multiple (LCM) of 44088 and 44097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44088 and 44097. First we will calculate the prime factors of 44088 and 44097.

Prime Factorization of 44088

Prime Factorization of 44097

Now multiplying the highest exponent prime factors to calculate the LCM of 44088 and 44097.

LCM(44088,44097) = 2³ × 3¹ × 11¹ × 167¹ × 14699¹
LCM(44088,44097) = 648049512