What is the Least Common Multiple of 18272 and 18282?

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 18272 and 18282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18272 and 18282, than apply into the LCM equation.

GCF(18272,18282) = 2
LCM(18272,18282) = ( 18272 × 18282) / 2
LCM(18272,18282) = 334048704 / 2
LCM(18272,18282) = 167024352

Least Common Multiple (LCM) of 18272 and 18282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18272 and 18282. First we will calculate the prime factors of 18272 and 18282.

Prime Factorization of 18272

Prime Factorization of 18282

Now multiplying the highest exponent prime factors to calculate the LCM of 18272 and 18282.

LCM(18272,18282) = 2⁵ × 571¹ × 3¹ × 11¹ × 277¹
LCM(18272,18282) = 167024352