What is the Least Common Multiple of 9345 and 9360?

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 9345 and 9360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9345 and 9360, than apply into the LCM equation.

GCF(9345,9360) = 15
LCM(9345,9360) = ( 9345 × 9360) / 15
LCM(9345,9360) = 87469200 / 15
LCM(9345,9360) = 5831280

Least Common Multiple (LCM) of 9345 and 9360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9345 and 9360. First we will calculate the prime factors of 9345 and 9360.

Prime Factorization of 9345

Prime Factorization of 9360

Now multiplying the highest exponent prime factors to calculate the LCM of 9345 and 9360.

LCM(9345,9360) = 3² × 5¹ × 7¹ × 89¹ × 2⁴ × 13¹
LCM(9345,9360) = 5831280