What is the Least Common Multiple of 64692 and 64700?

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 64692 and 64700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64692 and 64700, than apply into the LCM equation.

GCF(64692,64700) = 4
LCM(64692,64700) = ( 64692 × 64700) / 4
LCM(64692,64700) = 4185572400 / 4
LCM(64692,64700) = 1046393100

Least Common Multiple (LCM) of 64692 and 64700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64692 and 64700. First we will calculate the prime factors of 64692 and 64700.

Prime Factorization of 64692

Prime Factorization of 64700

Now multiplying the highest exponent prime factors to calculate the LCM of 64692 and 64700.

LCM(64692,64700) = 2² × 3³ × 599¹ × 5² × 647¹
LCM(64692,64700) = 1046393100