What is the Least Common Multiple of 56152 and 56158?

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 56152 and 56158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56152 and 56158, than apply into the LCM equation.

GCF(56152,56158) = 2
LCM(56152,56158) = ( 56152 × 56158) / 2
LCM(56152,56158) = 3153384016 / 2
LCM(56152,56158) = 1576692008

Least Common Multiple (LCM) of 56152 and 56158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56152 and 56158. First we will calculate the prime factors of 56152 and 56158.

Prime Factorization of 56152

Prime Factorization of 56158

Now multiplying the highest exponent prime factors to calculate the LCM of 56152 and 56158.

LCM(56152,56158) = 2³ × 7019¹ × 43¹ × 653¹
LCM(56152,56158) = 1576692008