What is the Least Common Multiple of 64008 and 64016?

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 64008 and 64016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64008 and 64016, than apply into the LCM equation.

GCF(64008,64016) = 8
LCM(64008,64016) = ( 64008 × 64016) / 8
LCM(64008,64016) = 4097536128 / 8
LCM(64008,64016) = 512192016

Least Common Multiple (LCM) of 64008 and 64016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64008 and 64016. First we will calculate the prime factors of 64008 and 64016.

Prime Factorization of 64008

Prime Factorization of 64016

Now multiplying the highest exponent prime factors to calculate the LCM of 64008 and 64016.

LCM(64008,64016) = 2⁴ × 3² × 7¹ × 127¹ × 4001¹
LCM(64008,64016) = 512192016