What is the Least Common Multiple of 59160 and 59180?

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 59180 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 59180, than apply into the LCM equation.

GCF(59160,59180) = 20
LCM(59160,59180) = ( 59160 × 59180) / 20
LCM(59160,59180) = 3501088800 / 20
LCM(59160,59180) = 175054440

Least Common Multiple (LCM) of 59160 and 59180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59160 and 59180. First we will calculate the prime factors of 59160 and 59180.

Prime Factorization of 59160

Prime Factorization of 59180

Now multiplying the highest exponent prime factors to calculate the LCM of 59160 and 59180.

LCM(59160,59180) = 2³ × 3¹ × 5¹ × 17¹ × 29¹ × 11¹ × 269¹
LCM(59160,59180) = 175054440