What is the Least Common Multiple of 1224 and 1231?

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 1224 and 1231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1224 and 1231, than apply into the LCM equation.

GCF(1224,1231) = 1
LCM(1224,1231) = ( 1224 × 1231) / 1
LCM(1224,1231) = 1506744 / 1
LCM(1224,1231) = 1506744

Least Common Multiple (LCM) of 1224 and 1231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1224 and 1231. First we will calculate the prime factors of 1224 and 1231.

Prime Factorization of 1224

Prime Factorization of 1231

Now multiplying the highest exponent prime factors to calculate the LCM of 1224 and 1231.

LCM(1224,1231) = 2³ × 3² × 17¹ × 1231¹
LCM(1224,1231) = 1506744