What is the Least Common Multiple of 58272 and 58284?

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 58272 and 58284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58272 and 58284, than apply into the LCM equation.

GCF(58272,58284) = 12
LCM(58272,58284) = ( 58272 × 58284) / 12
LCM(58272,58284) = 3396325248 / 12
LCM(58272,58284) = 283027104

Least Common Multiple (LCM) of 58272 and 58284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58272 and 58284. First we will calculate the prime factors of 58272 and 58284.

Prime Factorization of 58272

Prime Factorization of 58284

Now multiplying the highest exponent prime factors to calculate the LCM of 58272 and 58284.

LCM(58272,58284) = 2⁵ × 3² × 607¹ × 1619¹
LCM(58272,58284) = 283027104