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What is the Least Common Multiple of 13743 and 13757?

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 13743 and 13757 is 189062451.

LCM(13743,13757) = 189062451

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Least Common Multiple of 13743 and 13757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13743 and 13757, than apply into the LCM equation.

GCF(13743,13757) = 1
LCM(13743,13757) = ( 13743 × 13757) / 1
LCM(13743,13757) = 189062451 / 1
LCM(13743,13757) = 189062451

Least Common Multiple (LCM) of 13743 and 13757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13743 and 13757. First we will calculate the prime factors of 13743 and 13757.

Prime Factorization of 13743

Prime factors of 13743 are 3, 509. Prime factorization of 13743 in exponential form is:

13743 = 33 × 5091

Prime Factorization of 13757

Prime factors of 13757 are 13757. Prime factorization of 13757 in exponential form is:

13757 = 137571

Now multiplying the highest exponent prime factors to calculate the LCM of 13743 and 13757.

LCM(13743,13757) = 33 × 5091 × 137571
LCM(13743,13757) = 189062451