What is the Least Common Multiple of 56180 and 56192?

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 56192 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 56192, than apply into the LCM equation.

GCF(56180,56192) = 4
LCM(56180,56192) = ( 56180 × 56192) / 4
LCM(56180,56192) = 3156866560 / 4
LCM(56180,56192) = 789216640

Least Common Multiple (LCM) of 56180 and 56192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56180 and 56192. First we will calculate the prime factors of 56180 and 56192.

Prime Factorization of 56180

Prime Factorization of 56192

Now multiplying the highest exponent prime factors to calculate the LCM of 56180 and 56192.

LCM(56180,56192) = 2⁷ × 5¹ × 53² × 439¹
LCM(56180,56192) = 789216640