What is the Least Common Multiple of 56146 and 56152?

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 56146 and 56152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56146 and 56152, than apply into the LCM equation.

GCF(56146,56152) = 2
LCM(56146,56152) = ( 56146 × 56152) / 2
LCM(56146,56152) = 3152710192 / 2
LCM(56146,56152) = 1576355096

Least Common Multiple (LCM) of 56146 and 56152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56146 and 56152. First we will calculate the prime factors of 56146 and 56152.

Prime Factorization of 56146

Prime Factorization of 56152

Now multiplying the highest exponent prime factors to calculate the LCM of 56146 and 56152.

LCM(56146,56152) = 2³ × 67¹ × 419¹ × 7019¹
LCM(56146,56152) = 1576355096