What is the Least Common Multiple of 9210 and 9228?

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 9210 and 9228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9210 and 9228, than apply into the LCM equation.

GCF(9210,9228) = 6
LCM(9210,9228) = ( 9210 × 9228) / 6
LCM(9210,9228) = 84989880 / 6
LCM(9210,9228) = 14164980

Least Common Multiple (LCM) of 9210 and 9228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9210 and 9228. First we will calculate the prime factors of 9210 and 9228.

Prime Factorization of 9210

Prime Factorization of 9228

Now multiplying the highest exponent prime factors to calculate the LCM of 9210 and 9228.

LCM(9210,9228) = 2² × 3¹ × 5¹ × 307¹ × 769¹
LCM(9210,9228) = 14164980