What is the Least Common Multiple of 58272 and 58282?

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 58282 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 58282, than apply into the LCM equation.

GCF(58272,58282) = 2
LCM(58272,58282) = ( 58272 × 58282) / 2
LCM(58272,58282) = 3396208704 / 2
LCM(58272,58282) = 1698104352

Least Common Multiple (LCM) of 58272 and 58282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58272 and 58282. First we will calculate the prime factors of 58272 and 58282.

Prime Factorization of 58272

Prime Factorization of 58282

Now multiplying the highest exponent prime factors to calculate the LCM of 58272 and 58282.

LCM(58272,58282) = 2⁵ × 3¹ × 607¹ × 7¹ × 23¹ × 181¹
LCM(58272,58282) = 1698104352