What is the Least Common Multiple of 64728 and 64734?

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 64728 and 64734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64728 and 64734, than apply into the LCM equation.

GCF(64728,64734) = 6
LCM(64728,64734) = ( 64728 × 64734) / 6
LCM(64728,64734) = 4190102352 / 6
LCM(64728,64734) = 698350392

Least Common Multiple (LCM) of 64728 and 64734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64728 and 64734. First we will calculate the prime factors of 64728 and 64734.

Prime Factorization of 64728

Prime Factorization of 64734

Now multiplying the highest exponent prime factors to calculate the LCM of 64728 and 64734.

LCM(64728,64734) = 2³ × 3² × 29¹ × 31¹ × 10789¹
LCM(64728,64734) = 698350392