What is the Least Common Multiple of 64896 and 64913?

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 64913 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 64913, than apply into the LCM equation.

GCF(64896,64913) = 1
LCM(64896,64913) = ( 64896 × 64913) / 1
LCM(64896,64913) = 4212594048 / 1
LCM(64896,64913) = 4212594048

Least Common Multiple (LCM) of 64896 and 64913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64896 and 64913. First we will calculate the prime factors of 64896 and 64913.

Prime Factorization of 64896

Prime Factorization of 64913

Now multiplying the highest exponent prime factors to calculate the LCM of 64896 and 64913.

LCM(64896,64913) = 2⁷ × 3¹ × 13² × 139¹ × 467¹
LCM(64896,64913) = 4212594048