What is the Least Common Multiple of 64872 and 64882?

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 64872 and 64882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64872 and 64882, than apply into the LCM equation.

GCF(64872,64882) = 2
LCM(64872,64882) = ( 64872 × 64882) / 2
LCM(64872,64882) = 4209025104 / 2
LCM(64872,64882) = 2104512552

Least Common Multiple (LCM) of 64872 and 64882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64872 and 64882. First we will calculate the prime factors of 64872 and 64882.

Prime Factorization of 64872

Prime Factorization of 64882

Now multiplying the highest exponent prime factors to calculate the LCM of 64872 and 64882.

LCM(64872,64882) = 2³ × 3² × 17¹ × 53¹ × 32441¹
LCM(64872,64882) = 2104512552