What is the Least Common Multiple of 12240 and 12249?

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 12240 and 12249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12240 and 12249, than apply into the LCM equation.

GCF(12240,12249) = 9
LCM(12240,12249) = ( 12240 × 12249) / 9
LCM(12240,12249) = 149927760 / 9
LCM(12240,12249) = 16658640

Least Common Multiple (LCM) of 12240 and 12249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12240 and 12249. First we will calculate the prime factors of 12240 and 12249.

Prime Factorization of 12240

Prime Factorization of 12249

Now multiplying the highest exponent prime factors to calculate the LCM of 12240 and 12249.

LCM(12240,12249) = 2⁴ × 3² × 5¹ × 17¹ × 1361¹
LCM(12240,12249) = 16658640