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What is the Least Common Multiple of 13702 and 13711?

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 13702 and 13711 is 187868122.

LCM(13702,13711) = 187868122

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Least Common Multiple of 13702 and 13711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13702 and 13711, than apply into the LCM equation.

GCF(13702,13711) = 1
LCM(13702,13711) = ( 13702 × 13711) / 1
LCM(13702,13711) = 187868122 / 1
LCM(13702,13711) = 187868122

Least Common Multiple (LCM) of 13702 and 13711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13702 and 13711. First we will calculate the prime factors of 13702 and 13711.

Prime Factorization of 13702

Prime factors of 13702 are 2, 13, 17, 31. Prime factorization of 13702 in exponential form is:

13702 = 21 × 131 × 171 × 311

Prime Factorization of 13711

Prime factors of 13711 are 13711. Prime factorization of 13711 in exponential form is:

13711 = 137111

Now multiplying the highest exponent prime factors to calculate the LCM of 13702 and 13711.

LCM(13702,13711) = 21 × 131 × 171 × 311 × 137111
LCM(13702,13711) = 187868122