What is the Least Common Multiple of 58056 and 58072?

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 58072 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 58072, than apply into the LCM equation.

GCF(58056,58072) = 8
LCM(58056,58072) = ( 58056 × 58072) / 8
LCM(58056,58072) = 3371428032 / 8
LCM(58056,58072) = 421428504

Least Common Multiple (LCM) of 58056 and 58072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58056 and 58072. First we will calculate the prime factors of 58056 and 58072.

Prime Factorization of 58056

Prime Factorization of 58072

Now multiplying the highest exponent prime factors to calculate the LCM of 58056 and 58072.

LCM(58056,58072) = 2³ × 3¹ × 41¹ × 59¹ × 7¹ × 17¹ × 61¹
LCM(58056,58072) = 421428504