What is the Least Common Multiple of 56152 and 56170?

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 56170 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 56170, than apply into the LCM equation.

GCF(56152,56170) = 2
LCM(56152,56170) = ( 56152 × 56170) / 2
LCM(56152,56170) = 3154057840 / 2
LCM(56152,56170) = 1577028920

Least Common Multiple (LCM) of 56152 and 56170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56152 and 56170. First we will calculate the prime factors of 56152 and 56170.

Prime Factorization of 56152

Prime Factorization of 56170

Now multiplying the highest exponent prime factors to calculate the LCM of 56152 and 56170.

LCM(56152,56170) = 2³ × 7019¹ × 5¹ × 41¹ × 137¹
LCM(56152,56170) = 1577028920