What is the Least Common Multiple of 56160 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 56160 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 56160 and 56170, than apply into the LCM equation.

GCF(56160,56170) = 10
LCM(56160,56170) = ( 56160 × 56170) / 10
LCM(56160,56170) = 3154507200 / 10
LCM(56160,56170) = 315450720

Least Common Multiple (LCM) of 56160 and 56170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56160 and 56170. First we will calculate the prime factors of 56160 and 56170.

Prime Factorization of 56160

Prime Factorization of 56170

Now multiplying the highest exponent prime factors to calculate the LCM of 56160 and 56170.

LCM(56160,56170) = 2⁵ × 3³ × 5¹ × 13¹ × 41¹ × 137¹
LCM(56160,56170) = 315450720