What is the Least Common Multiple of 44250 and 44264?

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 44250 and 44264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44250 and 44264, than apply into the LCM equation.

GCF(44250,44264) = 2
LCM(44250,44264) = ( 44250 × 44264) / 2
LCM(44250,44264) = 1958682000 / 2
LCM(44250,44264) = 979341000

Least Common Multiple (LCM) of 44250 and 44264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44250 and 44264. First we will calculate the prime factors of 44250 and 44264.

Prime Factorization of 44250

Prime Factorization of 44264

Now multiplying the highest exponent prime factors to calculate the LCM of 44250 and 44264.

LCM(44250,44264) = 2³ × 3¹ × 5³ × 59¹ × 11¹ × 503¹
LCM(44250,44264) = 979341000