What is the Least Common Multiple of 56457 and 56474?

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 56457 and 56474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56457 and 56474, than apply into the LCM equation.

GCF(56457,56474) = 17
LCM(56457,56474) = ( 56457 × 56474) / 17
LCM(56457,56474) = 3188352618 / 17
LCM(56457,56474) = 187550154

Least Common Multiple (LCM) of 56457 and 56474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56457 and 56474. First we will calculate the prime factors of 56457 and 56474.

Prime Factorization of 56457

Prime Factorization of 56474

Now multiplying the highest exponent prime factors to calculate the LCM of 56457 and 56474.

LCM(56457,56474) = 3⁴ × 17¹ × 41¹ × 2¹ × 11¹ × 151¹
LCM(56457,56474) = 187550154