What is the Least Common Multiple of 9240 and 9255?

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 9255 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 9255, than apply into the LCM equation.

GCF(9240,9255) = 15
LCM(9240,9255) = ( 9240 × 9255) / 15
LCM(9240,9255) = 85516200 / 15
LCM(9240,9255) = 5701080

Least Common Multiple (LCM) of 9240 and 9255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9240 and 9255. First we will calculate the prime factors of 9240 and 9255.

Prime Factorization of 9240

Prime Factorization of 9255

Now multiplying the highest exponent prime factors to calculate the LCM of 9240 and 9255.

LCM(9240,9255) = 2³ × 3¹ × 5¹ × 7¹ × 11¹ × 617¹
LCM(9240,9255) = 5701080