What is the Least Common Multiple of 58056 and 58067?

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 58056 and 58067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58056 and 58067, than apply into the LCM equation.

GCF(58056,58067) = 1
LCM(58056,58067) = ( 58056 × 58067) / 1
LCM(58056,58067) = 3371137752 / 1
LCM(58056,58067) = 3371137752

Least Common Multiple (LCM) of 58056 and 58067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58056 and 58067. First we will calculate the prime factors of 58056 and 58067.

Prime Factorization of 58056

Prime Factorization of 58067

Now multiplying the highest exponent prime factors to calculate the LCM of 58056 and 58067.

LCM(58056,58067) = 2³ × 3¹ × 41¹ × 59¹ × 58067¹
LCM(58056,58067) = 3371137752