What is the Least Common Multiple of 58788 and 58808?

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 58788 and 58808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58788 and 58808, than apply into the LCM equation.

GCF(58788,58808) = 4
LCM(58788,58808) = ( 58788 × 58808) / 4
LCM(58788,58808) = 3457204704 / 4
LCM(58788,58808) = 864301176

Least Common Multiple (LCM) of 58788 and 58808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58788 and 58808. First we will calculate the prime factors of 58788 and 58808.

Prime Factorization of 58788

Prime Factorization of 58808

Now multiplying the highest exponent prime factors to calculate the LCM of 58788 and 58808.

LCM(58788,58808) = 2³ × 3² × 23¹ × 71¹ × 7351¹
LCM(58788,58808) = 864301176