What is the Least Common Multiple of 2232 and 2247?

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 2247 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 2247, than apply into the LCM equation.

GCF(2232,2247) = 3
LCM(2232,2247) = ( 2232 × 2247) / 3
LCM(2232,2247) = 5015304 / 3
LCM(2232,2247) = 1671768

Least Common Multiple (LCM) of 2232 and 2247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2232 and 2247. First we will calculate the prime factors of 2232 and 2247.

Prime Factorization of 2232

Prime Factorization of 2247

Now multiplying the highest exponent prime factors to calculate the LCM of 2232 and 2247.

LCM(2232,2247) = 2³ × 3² × 31¹ × 7¹ × 107¹
LCM(2232,2247) = 1671768