What is the Least Common Multiple of 9252 and 9261?

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 9252 and 9261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9252 and 9261, than apply into the LCM equation.

GCF(9252,9261) = 9
LCM(9252,9261) = ( 9252 × 9261) / 9
LCM(9252,9261) = 85682772 / 9
LCM(9252,9261) = 9520308

Least Common Multiple (LCM) of 9252 and 9261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9252 and 9261. First we will calculate the prime factors of 9252 and 9261.

Prime Factorization of 9252

Prime Factorization of 9261

Now multiplying the highest exponent prime factors to calculate the LCM of 9252 and 9261.

LCM(9252,9261) = 2² × 3³ × 257¹ × 7³
LCM(9252,9261) = 9520308