What is the Least Common Multiple of 64729 and 64736?

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 64729 and 64736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64729 and 64736, than apply into the LCM equation.

GCF(64729,64736) = 7
LCM(64729,64736) = ( 64729 × 64736) / 7
LCM(64729,64736) = 4190296544 / 7
LCM(64729,64736) = 598613792

Least Common Multiple (LCM) of 64729 and 64736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64729 and 64736. First we will calculate the prime factors of 64729 and 64736.

Prime Factorization of 64729

Prime Factorization of 64736

Now multiplying the highest exponent prime factors to calculate the LCM of 64729 and 64736.

LCM(64729,64736) = 7² × 1321¹ × 2⁵ × 17²
LCM(64729,64736) = 598613792