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What is the Least Common Multiple of 13633 and 13644?

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 13633 and 13644 is 186008652.

LCM(13633,13644) = 186008652

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Least Common Multiple of 13633 and 13644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13633 and 13644, than apply into the LCM equation.

GCF(13633,13644) = 1
LCM(13633,13644) = ( 13633 × 13644) / 1
LCM(13633,13644) = 186008652 / 1
LCM(13633,13644) = 186008652

Least Common Multiple (LCM) of 13633 and 13644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13633 and 13644. First we will calculate the prime factors of 13633 and 13644.

Prime Factorization of 13633

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

13633 = 136331

Prime Factorization of 13644

Prime factors of 13644 are 2, 3, 379. Prime factorization of 13644 in exponential form is:

13644 = 22 × 32 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 13633 and 13644.

LCM(13633,13644) = 136331 × 22 × 32 × 3791
LCM(13633,13644) = 186008652