What is the Least Common Multiple of 58056 and 58069?

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 58069 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 58069, than apply into the LCM equation.

GCF(58056,58069) = 1
LCM(58056,58069) = ( 58056 × 58069) / 1
LCM(58056,58069) = 3371253864 / 1
LCM(58056,58069) = 3371253864

Least Common Multiple (LCM) of 58056 and 58069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58056 and 58069. First we will calculate the prime factors of 58056 and 58069.

Prime Factorization of 58056

Prime Factorization of 58069

Now multiplying the highest exponent prime factors to calculate the LCM of 58056 and 58069.

LCM(58056,58069) = 2³ × 3¹ × 41¹ × 59¹ × 11¹ × 5279¹
LCM(58056,58069) = 3371253864