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What is the Least Common Multiple of 11223 and 11231?

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 11223 and 11231 is 126045513.

LCM(11223,11231) = 126045513

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Least Common Multiple of 11223 and 11231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11223 and 11231, than apply into the LCM equation.

GCF(11223,11231) = 1
LCM(11223,11231) = ( 11223 × 11231) / 1
LCM(11223,11231) = 126045513 / 1
LCM(11223,11231) = 126045513

Least Common Multiple (LCM) of 11223 and 11231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11223 and 11231. First we will calculate the prime factors of 11223 and 11231.

Prime Factorization of 11223

Prime factors of 11223 are 3, 29, 43. Prime factorization of 11223 in exponential form is:

11223 = 32 × 291 × 431

Prime Factorization of 11231

Prime factors of 11231 are 11, 1021. Prime factorization of 11231 in exponential form is:

11231 = 111 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 11223 and 11231.

LCM(11223,11231) = 32 × 291 × 431 × 111 × 10211
LCM(11223,11231) = 126045513