What is the Least Common Multiple of 64864 and 64878?

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 64864 and 64878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64864 and 64878, than apply into the LCM equation.

GCF(64864,64878) = 2
LCM(64864,64878) = ( 64864 × 64878) / 2
LCM(64864,64878) = 4208246592 / 2
LCM(64864,64878) = 2104123296

Least Common Multiple (LCM) of 64864 and 64878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64864 and 64878. First we will calculate the prime factors of 64864 and 64878.

Prime Factorization of 64864

Prime Factorization of 64878

Now multiplying the highest exponent prime factors to calculate the LCM of 64864 and 64878.

LCM(64864,64878) = 2⁵ × 2027¹ × 3¹ × 11¹ × 983¹
LCM(64864,64878) = 2104123296