What is the Least Common Multiple of 43920 and 43940?

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 43940 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 43940, than apply into the LCM equation.

GCF(43920,43940) = 20
LCM(43920,43940) = ( 43920 × 43940) / 20
LCM(43920,43940) = 1929844800 / 20
LCM(43920,43940) = 96492240

Least Common Multiple (LCM) of 43920 and 43940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43920 and 43940. First we will calculate the prime factors of 43920 and 43940.

Prime Factorization of 43920

Prime Factorization of 43940

Now multiplying the highest exponent prime factors to calculate the LCM of 43920 and 43940.

LCM(43920,43940) = 2⁴ × 3² × 5¹ × 61¹ × 13³
LCM(43920,43940) = 96492240