What is the Least Common Multiple of 12225 and 12231?

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 12225 and 12231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12225 and 12231, than apply into the LCM equation.

GCF(12225,12231) = 3
LCM(12225,12231) = ( 12225 × 12231) / 3
LCM(12225,12231) = 149523975 / 3
LCM(12225,12231) = 49841325

Least Common Multiple (LCM) of 12225 and 12231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12225 and 12231. First we will calculate the prime factors of 12225 and 12231.

Prime Factorization of 12225

Prime Factorization of 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 12225 and 12231.

LCM(12225,12231) = 3⁴ × 5² × 163¹ × 151¹
LCM(12225,12231) = 49841325