What is the Least Common Multiple of 58272 and 58279?

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 58279 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 58279, than apply into the LCM equation.

GCF(58272,58279) = 1
LCM(58272,58279) = ( 58272 × 58279) / 1
LCM(58272,58279) = 3396033888 / 1
LCM(58272,58279) = 3396033888

Least Common Multiple (LCM) of 58272 and 58279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58272 and 58279. First we will calculate the prime factors of 58272 and 58279.

Prime Factorization of 58272

Prime Factorization of 58279

Now multiplying the highest exponent prime factors to calculate the LCM of 58272 and 58279.

LCM(58272,58279) = 2⁵ × 3¹ × 607¹ × 13¹ × 4483¹
LCM(58272,58279) = 3396033888