What is the Least Common Multiple of 64128 and 64142?

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 64128 and 64142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64128 and 64142, than apply into the LCM equation.

GCF(64128,64142) = 2
LCM(64128,64142) = ( 64128 × 64142) / 2
LCM(64128,64142) = 4113298176 / 2
LCM(64128,64142) = 2056649088

Least Common Multiple (LCM) of 64128 and 64142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64128 and 64142. First we will calculate the prime factors of 64128 and 64142.

Prime Factorization of 64128

Prime Factorization of 64142

Now multiplying the highest exponent prime factors to calculate the LCM of 64128 and 64142.

LCM(64128,64142) = 2⁷ × 3¹ × 167¹ × 13¹ × 2467¹
LCM(64128,64142) = 2056649088