What is the Least Common Multiple of 44000 and 44017?

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 44017 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 44017, than apply into the LCM equation.

GCF(44000,44017) = 1
LCM(44000,44017) = ( 44000 × 44017) / 1
LCM(44000,44017) = 1936748000 / 1
LCM(44000,44017) = 1936748000

Least Common Multiple (LCM) of 44000 and 44017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44000 and 44017. First we will calculate the prime factors of 44000 and 44017.

Prime Factorization of 44000

Prime Factorization of 44017

Now multiplying the highest exponent prime factors to calculate the LCM of 44000 and 44017.

LCM(44000,44017) = 2⁵ × 5³ × 11¹ × 44017¹
LCM(44000,44017) = 1936748000