What is the Least Common Multiple of 44360 and 44375?

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 44360 and 44375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44360 and 44375, than apply into the LCM equation.

GCF(44360,44375) = 5
LCM(44360,44375) = ( 44360 × 44375) / 5
LCM(44360,44375) = 1968475000 / 5
LCM(44360,44375) = 393695000

Least Common Multiple (LCM) of 44360 and 44375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44360 and 44375. First we will calculate the prime factors of 44360 and 44375.

Prime Factorization of 44360

Prime Factorization of 44375

Now multiplying the highest exponent prime factors to calculate the LCM of 44360 and 44375.

LCM(44360,44375) = 2³ × 5⁴ × 1109¹ × 71¹
LCM(44360,44375) = 393695000