What is the Least Common Multiple of 64734 and 64752?

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 64734 and 64752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64734 and 64752, than apply into the LCM equation.

GCF(64734,64752) = 6
LCM(64734,64752) = ( 64734 × 64752) / 6
LCM(64734,64752) = 4191655968 / 6
LCM(64734,64752) = 698609328

Least Common Multiple (LCM) of 64734 and 64752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64734 and 64752. First we will calculate the prime factors of 64734 and 64752.

Prime Factorization of 64734

Prime Factorization of 64752

Now multiplying the highest exponent prime factors to calculate the LCM of 64734 and 64752.

LCM(64734,64752) = 2⁴ × 3¹ × 10789¹ × 19¹ × 71¹
LCM(64734,64752) = 698609328