What is the Least Common Multiple of 64047 and 64056?

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 64047 and 64056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64047 and 64056, than apply into the LCM equation.

GCF(64047,64056) = 3
LCM(64047,64056) = ( 64047 × 64056) / 3
LCM(64047,64056) = 4102594632 / 3
LCM(64047,64056) = 1367531544

Least Common Multiple (LCM) of 64047 and 64056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64047 and 64056. First we will calculate the prime factors of 64047 and 64056.

Prime Factorization of 64047

Prime Factorization of 64056

Now multiplying the highest exponent prime factors to calculate the LCM of 64047 and 64056.

LCM(64047,64056) = 3¹ × 37¹ × 577¹ × 2³ × 17¹ × 157¹
LCM(64047,64056) = 1367531544