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What is the Least Common Multiple of 13691 and 13704?

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 13691 and 13704 is 187621464.

LCM(13691,13704) = 187621464

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Least Common Multiple of 13691 and 13704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13691 and 13704, than apply into the LCM equation.

GCF(13691,13704) = 1
LCM(13691,13704) = ( 13691 × 13704) / 1
LCM(13691,13704) = 187621464 / 1
LCM(13691,13704) = 187621464

Least Common Multiple (LCM) of 13691 and 13704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13691 and 13704. First we will calculate the prime factors of 13691 and 13704.

Prime Factorization of 13691

Prime factors of 13691 are 13691. Prime factorization of 13691 in exponential form is:

13691 = 136911

Prime Factorization of 13704

Prime factors of 13704 are 2, 3, 571. Prime factorization of 13704 in exponential form is:

13704 = 23 × 31 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 13691 and 13704.

LCM(13691,13704) = 136911 × 23 × 31 × 5711
LCM(13691,13704) = 187621464