What is the Least Common Multiple of 64400 and 64416?

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 64400 and 64416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64400 and 64416, than apply into the LCM equation.

GCF(64400,64416) = 16
LCM(64400,64416) = ( 64400 × 64416) / 16
LCM(64400,64416) = 4148390400 / 16
LCM(64400,64416) = 259274400

Least Common Multiple (LCM) of 64400 and 64416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64400 and 64416. First we will calculate the prime factors of 64400 and 64416.

Prime Factorization of 64400

Prime Factorization of 64416

Now multiplying the highest exponent prime factors to calculate the LCM of 64400 and 64416.

LCM(64400,64416) = 2⁵ × 5² × 7¹ × 23¹ × 3¹ × 11¹ × 61¹
LCM(64400,64416) = 259274400