What is the Least Common Multiple of 64004 and 64018?

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 64004 and 64018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64004 and 64018, than apply into the LCM equation.

GCF(64004,64018) = 2
LCM(64004,64018) = ( 64004 × 64018) / 2
LCM(64004,64018) = 4097408072 / 2
LCM(64004,64018) = 2048704036

Least Common Multiple (LCM) of 64004 and 64018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64004 and 64018. First we will calculate the prime factors of 64004 and 64018.

Prime Factorization of 64004

Prime Factorization of 64018

Now multiplying the highest exponent prime factors to calculate the LCM of 64004 and 64018.

LCM(64004,64018) = 2² × 16001¹ × 32009¹
LCM(64004,64018) = 2048704036