What is the Least Common Multiple of 95160 and 95176?

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 95176 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 95176, than apply into the LCM equation.

GCF(95160,95176) = 8
LCM(95160,95176) = ( 95160 × 95176) / 8
LCM(95160,95176) = 9056948160 / 8
LCM(95160,95176) = 1132118520

Least Common Multiple (LCM) of 95160 and 95176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95160 and 95176. First we will calculate the prime factors of 95160 and 95176.

Prime Factorization of 95160

Prime Factorization of 95176

Now multiplying the highest exponent prime factors to calculate the LCM of 95160 and 95176.

LCM(95160,95176) = 2³ × 3¹ × 5¹ × 13¹ × 61¹ × 11897¹
LCM(95160,95176) = 1132118520