What is the Least Common Multiple of 64894 and 64912?

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 64894 and 64912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64894 and 64912, than apply into the LCM equation.

GCF(64894,64912) = 2
LCM(64894,64912) = ( 64894 × 64912) / 2
LCM(64894,64912) = 4212399328 / 2
LCM(64894,64912) = 2106199664

Least Common Multiple (LCM) of 64894 and 64912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64894 and 64912. First we will calculate the prime factors of 64894 and 64912.

Prime Factorization of 64894

Prime Factorization of 64912

Now multiplying the highest exponent prime factors to calculate the LCM of 64894 and 64912.

LCM(64894,64912) = 2⁴ × 71¹ × 457¹ × 4057¹
LCM(64894,64912) = 2106199664