What is the Least Common Multiple of 59160 and 59168?

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 59160 and 59168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59160 and 59168, than apply into the LCM equation.

GCF(59160,59168) = 8
LCM(59160,59168) = ( 59160 × 59168) / 8
LCM(59160,59168) = 3500378880 / 8
LCM(59160,59168) = 437547360

Least Common Multiple (LCM) of 59160 and 59168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59160 and 59168. First we will calculate the prime factors of 59160 and 59168.

Prime Factorization of 59160

Prime Factorization of 59168

Now multiplying the highest exponent prime factors to calculate the LCM of 59160 and 59168.

LCM(59160,59168) = 2⁵ × 3¹ × 5¹ × 17¹ × 29¹ × 43²
LCM(59160,59168) = 437547360