What is the Least Common Multiple of 18249 and 18267?

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 18249 and 18267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18249 and 18267, than apply into the LCM equation.

GCF(18249,18267) = 3
LCM(18249,18267) = ( 18249 × 18267) / 3
LCM(18249,18267) = 333354483 / 3
LCM(18249,18267) = 111118161

Least Common Multiple (LCM) of 18249 and 18267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18249 and 18267. First we will calculate the prime factors of 18249 and 18267.

Prime Factorization of 18249

Prime Factorization of 18267

Now multiplying the highest exponent prime factors to calculate the LCM of 18249 and 18267.

LCM(18249,18267) = 3¹ × 7¹ × 11¹ × 79¹ × 6089¹
LCM(18249,18267) = 111118161