What is the Least Common Multiple of 43920 and 43938?

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 43920 and 43938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43920 and 43938, than apply into the LCM equation.

GCF(43920,43938) = 18
LCM(43920,43938) = ( 43920 × 43938) / 18
LCM(43920,43938) = 1929756960 / 18
LCM(43920,43938) = 107208720

Least Common Multiple (LCM) of 43920 and 43938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43920 and 43938. First we will calculate the prime factors of 43920 and 43938.

Prime Factorization of 43920

Prime Factorization of 43938

Now multiplying the highest exponent prime factors to calculate the LCM of 43920 and 43938.

LCM(43920,43938) = 2⁴ × 3² × 5¹ × 61¹ × 2441¹
LCM(43920,43938) = 107208720