What is the Least Common Multiple of 43938 and 43952?

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 43938 and 43952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43938 and 43952, than apply into the LCM equation.

GCF(43938,43952) = 2
LCM(43938,43952) = ( 43938 × 43952) / 2
LCM(43938,43952) = 1931162976 / 2
LCM(43938,43952) = 965581488

Least Common Multiple (LCM) of 43938 and 43952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43938 and 43952. First we will calculate the prime factors of 43938 and 43952.

Prime Factorization of 43938

Prime Factorization of 43952

Now multiplying the highest exponent prime factors to calculate the LCM of 43938 and 43952.

LCM(43938,43952) = 2⁴ × 3² × 2441¹ × 41¹ × 67¹
LCM(43938,43952) = 965581488