What is the Least Common Multiple of 56352 and 56360?

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 56352 and 56360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56352 and 56360, than apply into the LCM equation.

GCF(56352,56360) = 8
LCM(56352,56360) = ( 56352 × 56360) / 8
LCM(56352,56360) = 3175998720 / 8
LCM(56352,56360) = 396999840

Least Common Multiple (LCM) of 56352 and 56360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56352 and 56360. First we will calculate the prime factors of 56352 and 56360.

Prime Factorization of 56352

Prime Factorization of 56360

Now multiplying the highest exponent prime factors to calculate the LCM of 56352 and 56360.

LCM(56352,56360) = 2⁵ × 3¹ × 587¹ × 5¹ × 1409¹
LCM(56352,56360) = 396999840