What is the Least Common Multiple of 44000 and 44005?

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 44000 and 44005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44000 and 44005, than apply into the LCM equation.

GCF(44000,44005) = 5
LCM(44000,44005) = ( 44000 × 44005) / 5
LCM(44000,44005) = 1936220000 / 5
LCM(44000,44005) = 387244000

Least Common Multiple (LCM) of 44000 and 44005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44000 and 44005. First we will calculate the prime factors of 44000 and 44005.

Prime Factorization of 44000

Prime Factorization of 44005

Now multiplying the highest exponent prime factors to calculate the LCM of 44000 and 44005.

LCM(44000,44005) = 2⁵ × 5³ × 11¹ × 13¹ × 677¹
LCM(44000,44005) = 387244000