What is the Least Common Multiple of 59040 and 59055?

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 59040 and 59055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59040 and 59055, than apply into the LCM equation.

GCF(59040,59055) = 15
LCM(59040,59055) = ( 59040 × 59055) / 15
LCM(59040,59055) = 3486607200 / 15
LCM(59040,59055) = 232440480

Least Common Multiple (LCM) of 59040 and 59055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59040 and 59055. First we will calculate the prime factors of 59040 and 59055.

Prime Factorization of 59040

Prime Factorization of 59055

Now multiplying the highest exponent prime factors to calculate the LCM of 59040 and 59055.

LCM(59040,59055) = 2⁵ × 3² × 5¹ × 41¹ × 31¹ × 127¹
LCM(59040,59055) = 232440480