What is the Least Common Multiple of 59028 and 59040?

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 59028 and 59040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59028 and 59040, than apply into the LCM equation.

GCF(59028,59040) = 12
LCM(59028,59040) = ( 59028 × 59040) / 12
LCM(59028,59040) = 3485013120 / 12
LCM(59028,59040) = 290417760

Least Common Multiple (LCM) of 59028 and 59040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59028 and 59040. First we will calculate the prime factors of 59028 and 59040.

Prime Factorization of 59028

Prime Factorization of 59040

Now multiplying the highest exponent prime factors to calculate the LCM of 59028 and 59040.

LCM(59028,59040) = 2⁵ × 3² × 4919¹ × 5¹ × 41¹
LCM(59028,59040) = 290417760