What is the Least Common Multiple of 2232 and 2243?

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 2232 and 2243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2232 and 2243, than apply into the LCM equation.

GCF(2232,2243) = 1
LCM(2232,2243) = ( 2232 × 2243) / 1
LCM(2232,2243) = 5006376 / 1
LCM(2232,2243) = 5006376

Least Common Multiple (LCM) of 2232 and 2243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2232 and 2243. First we will calculate the prime factors of 2232 and 2243.

Prime Factorization of 2232

Prime Factorization of 2243

Now multiplying the highest exponent prime factors to calculate the LCM of 2232 and 2243.

LCM(2232,2243) = 2³ × 3² × 31¹ × 2243¹
LCM(2232,2243) = 5006376