What is the Least Common Multiple of 43056 and 43072?

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 43056 and 43072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43056 and 43072, than apply into the LCM equation.

GCF(43056,43072) = 16
LCM(43056,43072) = ( 43056 × 43072) / 16
LCM(43056,43072) = 1854508032 / 16
LCM(43056,43072) = 115906752

Least Common Multiple (LCM) of 43056 and 43072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43056 and 43072. First we will calculate the prime factors of 43056 and 43072.

Prime Factorization of 43056

Prime Factorization of 43072

Now multiplying the highest exponent prime factors to calculate the LCM of 43056 and 43072.

LCM(43056,43072) = 2⁶ × 3² × 13¹ × 23¹ × 673¹
LCM(43056,43072) = 115906752