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What is the Least Common Multiple of 13797 and 13817?

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 13797 and 13817 is 190633149.

LCM(13797,13817) = 190633149

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Least Common Multiple of 13797 and 13817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13797 and 13817, than apply into the LCM equation.

GCF(13797,13817) = 1
LCM(13797,13817) = ( 13797 × 13817) / 1
LCM(13797,13817) = 190633149 / 1
LCM(13797,13817) = 190633149

Least Common Multiple (LCM) of 13797 and 13817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13797 and 13817. First we will calculate the prime factors of 13797 and 13817.

Prime Factorization of 13797

Prime factors of 13797 are 3, 7, 73. Prime factorization of 13797 in exponential form is:

13797 = 33 × 71 × 731

Prime Factorization of 13817

Prime factors of 13817 are 41, 337. Prime factorization of 13817 in exponential form is:

13817 = 411 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 13797 and 13817.

LCM(13797,13817) = 33 × 71 × 731 × 411 × 3371
LCM(13797,13817) = 190633149