What is the Least Common Multiple of 64005 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 64005 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 64005 and 64023, than apply into the LCM equation.

GCF(64005,64023) = 3
LCM(64005,64023) = ( 64005 × 64023) / 3
LCM(64005,64023) = 4097792115 / 3
LCM(64005,64023) = 1365930705

Least Common Multiple (LCM) of 64005 and 64023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64005 and 64023. First we will calculate the prime factors of 64005 and 64023.

Prime Factorization of 64005

Prime Factorization of 64023

Now multiplying the highest exponent prime factors to calculate the LCM of 64005 and 64023.

LCM(64005,64023) = 3¹ × 5¹ × 17¹ × 251¹ × 21341¹
LCM(64005,64023) = 1365930705