What is the Least Common Multiple of 96160 and 96168?

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 96168 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 96168, than apply into the LCM equation.

GCF(96160,96168) = 8
LCM(96160,96168) = ( 96160 × 96168) / 8
LCM(96160,96168) = 9247514880 / 8
LCM(96160,96168) = 1155939360

Least Common Multiple (LCM) of 96160 and 96168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96160 and 96168. First we will calculate the prime factors of 96160 and 96168.

Prime Factorization of 96160

Prime Factorization of 96168

Now multiplying the highest exponent prime factors to calculate the LCM of 96160 and 96168.

LCM(96160,96168) = 2⁵ × 5¹ × 601¹ × 3¹ × 4007¹
LCM(96160,96168) = 1155939360