What is the Least Common Multiple of 43038 and 43056?

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 43038 and 43056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43038 and 43056, than apply into the LCM equation.

GCF(43038,43056) = 18
LCM(43038,43056) = ( 43038 × 43056) / 18
LCM(43038,43056) = 1853044128 / 18
LCM(43038,43056) = 102946896

Least Common Multiple (LCM) of 43038 and 43056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43038 and 43056. First we will calculate the prime factors of 43038 and 43056.

Prime Factorization of 43038

Prime Factorization of 43056

Now multiplying the highest exponent prime factors to calculate the LCM of 43038 and 43056.

LCM(43038,43056) = 2⁴ × 3³ × 797¹ × 13¹ × 23¹
LCM(43038,43056) = 102946896