What is the Least Common Multiple of 58788 and 58796?

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 58796 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 58796, than apply into the LCM equation.

GCF(58788,58796) = 4
LCM(58788,58796) = ( 58788 × 58796) / 4
LCM(58788,58796) = 3456499248 / 4
LCM(58788,58796) = 864124812

Least Common Multiple (LCM) of 58788 and 58796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58788 and 58796. First we will calculate the prime factors of 58788 and 58796.

Prime Factorization of 58788

Prime Factorization of 58796

Now multiplying the highest exponent prime factors to calculate the LCM of 58788 and 58796.

LCM(58788,58796) = 2² × 3² × 23¹ × 71¹ × 14699¹
LCM(58788,58796) = 864124812