What is the Least Common Multiple of 44660 and 44675?

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 44660 and 44675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44660 and 44675, than apply into the LCM equation.

GCF(44660,44675) = 5
LCM(44660,44675) = ( 44660 × 44675) / 5
LCM(44660,44675) = 1995185500 / 5
LCM(44660,44675) = 399037100

Least Common Multiple (LCM) of 44660 and 44675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44660 and 44675. First we will calculate the prime factors of 44660 and 44675.

Prime Factorization of 44660

Prime Factorization of 44675

Now multiplying the highest exponent prime factors to calculate the LCM of 44660 and 44675.

LCM(44660,44675) = 2² × 5² × 7¹ × 11¹ × 29¹ × 1787¹
LCM(44660,44675) = 399037100