What is the Least Common Multiple of 64712 and 64729?

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 64712 and 64729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64712 and 64729, than apply into the LCM equation.

GCF(64712,64729) = 1
LCM(64712,64729) = ( 64712 × 64729) / 1
LCM(64712,64729) = 4188743048 / 1
LCM(64712,64729) = 4188743048

Least Common Multiple (LCM) of 64712 and 64729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64712 and 64729. First we will calculate the prime factors of 64712 and 64729.

Prime Factorization of 64712

Prime Factorization of 64729

Now multiplying the highest exponent prime factors to calculate the LCM of 64712 and 64729.

LCM(64712,64729) = 2³ × 8089¹ × 7² × 1321¹
LCM(64712,64729) = 4188743048