What is the Least Common Multiple of 64896 and 64902?

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 64896 and 64902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64896 and 64902, than apply into the LCM equation.

GCF(64896,64902) = 6
LCM(64896,64902) = ( 64896 × 64902) / 6
LCM(64896,64902) = 4211880192 / 6
LCM(64896,64902) = 701980032

Least Common Multiple (LCM) of 64896 and 64902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64896 and 64902. First we will calculate the prime factors of 64896 and 64902.

Prime Factorization of 64896

Prime Factorization of 64902

Now multiplying the highest exponent prime factors to calculate the LCM of 64896 and 64902.

LCM(64896,64902) = 2⁷ × 3¹ × 13² × 29¹ × 373¹
LCM(64896,64902) = 701980032