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What is the Least Common Multiple of 13718 and 13734?

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 13718 and 13734 is 94201506.

LCM(13718,13734) = 94201506

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Least Common Multiple of 13718 and 13734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13718 and 13734, than apply into the LCM equation.

GCF(13718,13734) = 2
LCM(13718,13734) = ( 13718 × 13734) / 2
LCM(13718,13734) = 188403012 / 2
LCM(13718,13734) = 94201506

Least Common Multiple (LCM) of 13718 and 13734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13718 and 13734. First we will calculate the prime factors of 13718 and 13734.

Prime Factorization of 13718

Prime factors of 13718 are 2, 19. Prime factorization of 13718 in exponential form is:

13718 = 21 × 193

Prime Factorization of 13734

Prime factors of 13734 are 2, 3, 7, 109. Prime factorization of 13734 in exponential form is:

13734 = 21 × 32 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 13718 and 13734.

LCM(13718,13734) = 21 × 193 × 32 × 71 × 1091
LCM(13718,13734) = 94201506