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What is the Least Common Multiple of 2223 and 2232?

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 (LCM) of 2223 and 2232 is 551304.

LCM(2223,2232) = 551304

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Least Common Multiple of 2223 and 2232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2223 and 2232, than apply into the LCM equation.

GCF(2223,2232) = 9
LCM(2223,2232) = ( 2223 × 2232) / 9
LCM(2223,2232) = 4961736 / 9
LCM(2223,2232) = 551304

Least Common Multiple (LCM) of 2223 and 2232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2223 and 2232. First we will calculate the prime factors of 2223 and 2232.

Prime Factorization of 2223

Prime factors of 2223 are 3, 13, 19. Prime factorization of 2223 in exponential form is:

2223 = 32 × 131 × 191

Prime Factorization of 2232

Prime factors of 2232 are 2, 3, 31. Prime factorization of 2232 in exponential form is:

2232 = 23 × 32 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 2223 and 2232.

LCM(2223,2232) = 32 × 131 × 191 × 23 × 311
LCM(2223,2232) = 551304