What is the Least Common Multiple of 56180 and 56188?

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 56180 and 56188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56180 and 56188, than apply into the LCM equation.

GCF(56180,56188) = 4
LCM(56180,56188) = ( 56180 × 56188) / 4
LCM(56180,56188) = 3156641840 / 4
LCM(56180,56188) = 789160460

Least Common Multiple (LCM) of 56180 and 56188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56180 and 56188. First we will calculate the prime factors of 56180 and 56188.

Prime Factorization of 56180

Prime Factorization of 56188

Now multiplying the highest exponent prime factors to calculate the LCM of 56180 and 56188.

LCM(56180,56188) = 2² × 5¹ × 53² × 11¹ × 1277¹
LCM(56180,56188) = 789160460