What is the Least Common Multiple of 18272 and 18291?

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 18291 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 18291, than apply into the LCM equation.

GCF(18272,18291) = 1
LCM(18272,18291) = ( 18272 × 18291) / 1
LCM(18272,18291) = 334213152 / 1
LCM(18272,18291) = 334213152

Least Common Multiple (LCM) of 18272 and 18291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18272 and 18291. First we will calculate the prime factors of 18272 and 18291.

Prime Factorization of 18272

Prime Factorization of 18291

Now multiplying the highest exponent prime factors to calculate the LCM of 18272 and 18291.

LCM(18272,18291) = 2⁵ × 571¹ × 3¹ × 7¹ × 13¹ × 67¹
LCM(18272,18291) = 334213152