What is the Least Common Multiple of 96160 and 96180?

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 96160 and 96180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96160 and 96180, than apply into the LCM equation.

GCF(96160,96180) = 20
LCM(96160,96180) = ( 96160 × 96180) / 20
LCM(96160,96180) = 9248668800 / 20
LCM(96160,96180) = 462433440

Least Common Multiple (LCM) of 96160 and 96180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96160 and 96180. First we will calculate the prime factors of 96160 and 96180.

Prime Factorization of 96160

Prime Factorization of 96180

Now multiplying the highest exponent prime factors to calculate the LCM of 96160 and 96180.

LCM(96160,96180) = 2⁵ × 5¹ × 601¹ × 3¹ × 7¹ × 229¹
LCM(96160,96180) = 462433440