What is the Least Common Multiple of 44943 and 44952?

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 44943 and 44952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44943 and 44952, than apply into the LCM equation.

GCF(44943,44952) = 3
LCM(44943,44952) = ( 44943 × 44952) / 3
LCM(44943,44952) = 2020277736 / 3
LCM(44943,44952) = 673425912

Least Common Multiple (LCM) of 44943 and 44952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44943 and 44952. First we will calculate the prime factors of 44943 and 44952.

Prime Factorization of 44943

Prime Factorization of 44952

Now multiplying the highest exponent prime factors to calculate the LCM of 44943 and 44952.

LCM(44943,44952) = 3¹ × 71¹ × 211¹ × 2³ × 1873¹
LCM(44943,44952) = 673425912