What is the Least Common Multiple of 96144 and 96160?

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 96144 and 96160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96144 and 96160, than apply into the LCM equation.

GCF(96144,96160) = 16
LCM(96144,96160) = ( 96144 × 96160) / 16
LCM(96144,96160) = 9245207040 / 16
LCM(96144,96160) = 577825440

Least Common Multiple (LCM) of 96144 and 96160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96144 and 96160. First we will calculate the prime factors of 96144 and 96160.

Prime Factorization of 96144

Prime Factorization of 96160

Now multiplying the highest exponent prime factors to calculate the LCM of 96144 and 96160.

LCM(96144,96160) = 2⁵ × 3¹ × 2003¹ × 5¹ × 601¹
LCM(96144,96160) = 577825440