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What is the Least Common Multiple of 13623 and 13633?

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 13623 and 13633 is 185722359.

LCM(13623,13633) = 185722359

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Least Common Multiple of 13623 and 13633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13623 and 13633, than apply into the LCM equation.

GCF(13623,13633) = 1
LCM(13623,13633) = ( 13623 × 13633) / 1
LCM(13623,13633) = 185722359 / 1
LCM(13623,13633) = 185722359

Least Common Multiple (LCM) of 13623 and 13633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13623 and 13633. First we will calculate the prime factors of 13623 and 13633.

Prime Factorization of 13623

Prime factors of 13623 are 3, 19, 239. Prime factorization of 13623 in exponential form is:

13623 = 31 × 191 × 2391

Prime Factorization of 13633

Prime factors of 13633 are 13633. Prime factorization of 13633 in exponential form is:

13633 = 136331

Now multiplying the highest exponent prime factors to calculate the LCM of 13623 and 13633.

LCM(13623,13633) = 31 × 191 × 2391 × 136331
LCM(13623,13633) = 185722359