What is the Least Common Multiple of 95160 and 95164?

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 95160 and 95164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95160 and 95164, than apply into the LCM equation.

GCF(95160,95164) = 4
LCM(95160,95164) = ( 95160 × 95164) / 4
LCM(95160,95164) = 9055806240 / 4
LCM(95160,95164) = 2263951560

Least Common Multiple (LCM) of 95160 and 95164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95160 and 95164. First we will calculate the prime factors of 95160 and 95164.

Prime Factorization of 95160

Prime Factorization of 95164

Now multiplying the highest exponent prime factors to calculate the LCM of 95160 and 95164.

LCM(95160,95164) = 2³ × 3¹ × 5¹ × 13¹ × 61¹ × 37¹ × 643¹
LCM(95160,95164) = 2263951560