What is the Least Common Multiple of 64016 and 64023?

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 64016 and 64023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64016 and 64023, than apply into the LCM equation.

GCF(64016,64023) = 1
LCM(64016,64023) = ( 64016 × 64023) / 1
LCM(64016,64023) = 4098496368 / 1
LCM(64016,64023) = 4098496368

Least Common Multiple (LCM) of 64016 and 64023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64016 and 64023. First we will calculate the prime factors of 64016 and 64023.

Prime Factorization of 64016

Prime Factorization of 64023

Now multiplying the highest exponent prime factors to calculate the LCM of 64016 and 64023.

LCM(64016,64023) = 2⁴ × 4001¹ × 3¹ × 21341¹
LCM(64016,64023) = 4098496368