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What is the Least Common Multiple of 13604 and 13619?

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 13604 and 13619 is 185272876.

LCM(13604,13619) = 185272876

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Least Common Multiple of 13604 and 13619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13604 and 13619, than apply into the LCM equation.

GCF(13604,13619) = 1
LCM(13604,13619) = ( 13604 × 13619) / 1
LCM(13604,13619) = 185272876 / 1
LCM(13604,13619) = 185272876

Least Common Multiple (LCM) of 13604 and 13619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13604 and 13619. First we will calculate the prime factors of 13604 and 13619.

Prime Factorization of 13604

Prime factors of 13604 are 2, 19, 179. Prime factorization of 13604 in exponential form is:

13604 = 22 × 191 × 1791

Prime Factorization of 13619

Prime factors of 13619 are 13619. Prime factorization of 13619 in exponential form is:

13619 = 136191

Now multiplying the highest exponent prime factors to calculate the LCM of 13604 and 13619.

LCM(13604,13619) = 22 × 191 × 1791 × 136191
LCM(13604,13619) = 185272876