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What is the Least Common Multiple of 13723 and 13731?

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 13723 and 13731 is 188430513.

LCM(13723,13731) = 188430513

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Least Common Multiple of 13723 and 13731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13723 and 13731, than apply into the LCM equation.

GCF(13723,13731) = 1
LCM(13723,13731) = ( 13723 × 13731) / 1
LCM(13723,13731) = 188430513 / 1
LCM(13723,13731) = 188430513

Least Common Multiple (LCM) of 13723 and 13731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13723 and 13731. First we will calculate the prime factors of 13723 and 13731.

Prime Factorization of 13723

Prime factors of 13723 are 13723. Prime factorization of 13723 in exponential form is:

13723 = 137231

Prime Factorization of 13731

Prime factors of 13731 are 3, 23, 199. Prime factorization of 13731 in exponential form is:

13731 = 31 × 231 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 13723 and 13731.

LCM(13723,13731) = 137231 × 31 × 231 × 1991
LCM(13723,13731) = 188430513