What is the Least Common Multiple of 44976 and 44991?

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 44976 and 44991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44976 and 44991, than apply into the LCM equation.

GCF(44976,44991) = 3
LCM(44976,44991) = ( 44976 × 44991) / 3
LCM(44976,44991) = 2023515216 / 3
LCM(44976,44991) = 674505072

Least Common Multiple (LCM) of 44976 and 44991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44976 and 44991. First we will calculate the prime factors of 44976 and 44991.

Prime Factorization of 44976

Prime Factorization of 44991

Now multiplying the highest exponent prime factors to calculate the LCM of 44976 and 44991.

LCM(44976,44991) = 2⁴ × 3² × 937¹ × 4999¹
LCM(44976,44991) = 674505072