What is the Least Common Multiple of 18240 and 18249?

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 18240 and 18249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18240 and 18249, than apply into the LCM equation.

GCF(18240,18249) = 3
LCM(18240,18249) = ( 18240 × 18249) / 3
LCM(18240,18249) = 332861760 / 3
LCM(18240,18249) = 110953920

Least Common Multiple (LCM) of 18240 and 18249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18240 and 18249. First we will calculate the prime factors of 18240 and 18249.

Prime Factorization of 18240

Prime Factorization of 18249

Now multiplying the highest exponent prime factors to calculate the LCM of 18240 and 18249.

LCM(18240,18249) = 2⁶ × 3¹ × 5¹ × 19¹ × 7¹ × 11¹ × 79¹
LCM(18240,18249) = 110953920