What is the Least Common Multiple of 64080 and 64093?

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 64080 and 64093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64080 and 64093, than apply into the LCM equation.

GCF(64080,64093) = 1
LCM(64080,64093) = ( 64080 × 64093) / 1
LCM(64080,64093) = 4107079440 / 1
LCM(64080,64093) = 4107079440

Least Common Multiple (LCM) of 64080 and 64093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64080 and 64093. First we will calculate the prime factors of 64080 and 64093.

Prime Factorization of 64080

Prime Factorization of 64093

Now multiplying the highest exponent prime factors to calculate the LCM of 64080 and 64093.

LCM(64080,64093) = 2⁴ × 3² × 5¹ × 89¹ × 107¹ × 599¹
LCM(64080,64093) = 4107079440