What is the Least Common Multiple of 9261 and 9273?

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 9261 and 9273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9261 and 9273, than apply into the LCM equation.

GCF(9261,9273) = 3
LCM(9261,9273) = ( 9261 × 9273) / 3
LCM(9261,9273) = 85877253 / 3
LCM(9261,9273) = 28625751

Least Common Multiple (LCM) of 9261 and 9273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9261 and 9273. First we will calculate the prime factors of 9261 and 9273.

Prime Factorization of 9261

Prime Factorization of 9273

Now multiplying the highest exponent prime factors to calculate the LCM of 9261 and 9273.

LCM(9261,9273) = 3³ × 7³ × 11¹ × 281¹
LCM(9261,9273) = 28625751