What is the Least Common Multiple of 56138 and 56146?

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 56138 and 56146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56138 and 56146, than apply into the LCM equation.

GCF(56138,56146) = 2
LCM(56138,56146) = ( 56138 × 56146) / 2
LCM(56138,56146) = 3151924148 / 2
LCM(56138,56146) = 1575962074

Least Common Multiple (LCM) of 56138 and 56146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56138 and 56146. First we will calculate the prime factors of 56138 and 56146.

Prime Factorization of 56138

Prime Factorization of 56146

Now multiplying the highest exponent prime factors to calculate the LCM of 56138 and 56146.

LCM(56138,56146) = 2¹ × 28069¹ × 67¹ × 419¹
LCM(56138,56146) = 1575962074