What is the Least Common Multiple of 9222 and 9237?

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 9222 and 9237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9222 and 9237, than apply into the LCM equation.

GCF(9222,9237) = 3
LCM(9222,9237) = ( 9222 × 9237) / 3
LCM(9222,9237) = 85183614 / 3
LCM(9222,9237) = 28394538

Least Common Multiple (LCM) of 9222 and 9237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9222 and 9237. First we will calculate the prime factors of 9222 and 9237.

Prime Factorization of 9222

Prime Factorization of 9237

Now multiplying the highest exponent prime factors to calculate the LCM of 9222 and 9237.

LCM(9222,9237) = 2¹ × 3¹ × 29¹ × 53¹ × 3079¹
LCM(9222,9237) = 28394538