What is the Least Common Multiple of 44160 and 44175?

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 44160 and 44175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44160 and 44175, than apply into the LCM equation.

GCF(44160,44175) = 15
LCM(44160,44175) = ( 44160 × 44175) / 15
LCM(44160,44175) = 1950768000 / 15
LCM(44160,44175) = 130051200

Least Common Multiple (LCM) of 44160 and 44175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44160 and 44175. First we will calculate the prime factors of 44160 and 44175.

Prime Factorization of 44160

Prime Factorization of 44175

Now multiplying the highest exponent prime factors to calculate the LCM of 44160 and 44175.

LCM(44160,44175) = 2⁷ × 3¹ × 5² × 23¹ × 19¹ × 31¹
LCM(44160,44175) = 130051200