What is the Least Common Multiple of 44625 and 44640?

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 44625 and 44640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44625 and 44640, than apply into the LCM equation.

GCF(44625,44640) = 15
LCM(44625,44640) = ( 44625 × 44640) / 15
LCM(44625,44640) = 1992060000 / 15
LCM(44625,44640) = 132804000

Least Common Multiple (LCM) of 44625 and 44640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44625 and 44640. First we will calculate the prime factors of 44625 and 44640.

Prime Factorization of 44625

Prime Factorization of 44640

Now multiplying the highest exponent prime factors to calculate the LCM of 44625 and 44640.

LCM(44625,44640) = 3² × 5³ × 7¹ × 17¹ × 2⁵ × 31¹
LCM(44625,44640) = 132804000