What is the Least Common Multiple of 44004 and 44024?

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 44004 and 44024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44004 and 44024, than apply into the LCM equation.

GCF(44004,44024) = 4
LCM(44004,44024) = ( 44004 × 44024) / 4
LCM(44004,44024) = 1937232096 / 4
LCM(44004,44024) = 484308024

Least Common Multiple (LCM) of 44004 and 44024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44004 and 44024. First we will calculate the prime factors of 44004 and 44024.

Prime Factorization of 44004

Prime Factorization of 44024

Now multiplying the highest exponent prime factors to calculate the LCM of 44004 and 44024.

LCM(44004,44024) = 2³ × 3¹ × 19¹ × 193¹ × 5503¹
LCM(44004,44024) = 484308024