What is the Least Common Multiple of 64116 and 64128?

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 64116 and 64128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64116 and 64128, than apply into the LCM equation.

GCF(64116,64128) = 12
LCM(64116,64128) = ( 64116 × 64128) / 12
LCM(64116,64128) = 4111630848 / 12
LCM(64116,64128) = 342635904

Least Common Multiple (LCM) of 64116 and 64128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64116 and 64128. First we will calculate the prime factors of 64116 and 64128.

Prime Factorization of 64116

Prime Factorization of 64128

Now multiplying the highest exponent prime factors to calculate the LCM of 64116 and 64128.

LCM(64116,64128) = 2⁷ × 3² × 13¹ × 137¹ × 167¹
LCM(64116,64128) = 342635904