What is the Least Common Multiple of 56355 and 56372?

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 56355 and 56372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56355 and 56372, than apply into the LCM equation.

GCF(56355,56372) = 17
LCM(56355,56372) = ( 56355 × 56372) / 17
LCM(56355,56372) = 3176844060 / 17
LCM(56355,56372) = 186873180

Least Common Multiple (LCM) of 56355 and 56372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56355 and 56372. First we will calculate the prime factors of 56355 and 56372.

Prime Factorization of 56355

Prime Factorization of 56372

Now multiplying the highest exponent prime factors to calculate the LCM of 56355 and 56372.

LCM(56355,56372) = 3¹ × 5¹ × 13¹ × 17² × 2² × 829¹
LCM(56355,56372) = 186873180