What is the Least Common Multiple of 96160 and 96164?

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 96164 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 96164, than apply into the LCM equation.

GCF(96160,96164) = 4
LCM(96160,96164) = ( 96160 × 96164) / 4
LCM(96160,96164) = 9247130240 / 4
LCM(96160,96164) = 2311782560

Least Common Multiple (LCM) of 96160 and 96164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96160 and 96164. First we will calculate the prime factors of 96160 and 96164.

Prime Factorization of 96160

Prime Factorization of 96164

Now multiplying the highest exponent prime factors to calculate the LCM of 96160 and 96164.

LCM(96160,96164) = 2⁵ × 5¹ × 601¹ × 29¹ × 829¹
LCM(96160,96164) = 2311782560