What is the Least Common Multiple of 9240 and 9249?

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 9240 and 9249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9240 and 9249, than apply into the LCM equation.

GCF(9240,9249) = 3
LCM(9240,9249) = ( 9240 × 9249) / 3
LCM(9240,9249) = 85460760 / 3
LCM(9240,9249) = 28486920

Least Common Multiple (LCM) of 9240 and 9249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9240 and 9249. First we will calculate the prime factors of 9240 and 9249.

Prime Factorization of 9240

Prime Factorization of 9249

Now multiplying the highest exponent prime factors to calculate the LCM of 9240 and 9249.

LCM(9240,9249) = 2³ × 3¹ × 5¹ × 7¹ × 11¹ × 3083¹
LCM(9240,9249) = 28486920