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What is the Least Common Multiple of 13654 and 13674?

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 13654 and 13674 is 93352398.

LCM(13654,13674) = 93352398

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Least Common Multiple of 13654 and 13674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13654 and 13674, than apply into the LCM equation.

GCF(13654,13674) = 2
LCM(13654,13674) = ( 13654 × 13674) / 2
LCM(13654,13674) = 186704796 / 2
LCM(13654,13674) = 93352398

Least Common Multiple (LCM) of 13654 and 13674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13654 and 13674. First we will calculate the prime factors of 13654 and 13674.

Prime Factorization of 13654

Prime factors of 13654 are 2, 6827. Prime factorization of 13654 in exponential form is:

13654 = 21 × 68271

Prime Factorization of 13674

Prime factors of 13674 are 2, 3, 43, 53. Prime factorization of 13674 in exponential form is:

13674 = 21 × 31 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13654 and 13674.

LCM(13654,13674) = 21 × 68271 × 31 × 431 × 531
LCM(13654,13674) = 93352398