What is the Least Common Multiple of 44760 and 44775?

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 44760 and 44775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44760 and 44775, than apply into the LCM equation.

GCF(44760,44775) = 15
LCM(44760,44775) = ( 44760 × 44775) / 15
LCM(44760,44775) = 2004129000 / 15
LCM(44760,44775) = 133608600

Least Common Multiple (LCM) of 44760 and 44775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44760 and 44775. First we will calculate the prime factors of 44760 and 44775.

Prime Factorization of 44760

Prime Factorization of 44775

Now multiplying the highest exponent prime factors to calculate the LCM of 44760 and 44775.

LCM(44760,44775) = 2³ × 3² × 5² × 373¹ × 199¹
LCM(44760,44775) = 133608600