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What is the Least Common Multiple of 13906 and 13917?

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 13906 and 13917 is 193529802.

LCM(13906,13917) = 193529802

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Least Common Multiple of 13906 and 13917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13906 and 13917, than apply into the LCM equation.

GCF(13906,13917) = 1
LCM(13906,13917) = ( 13906 × 13917) / 1
LCM(13906,13917) = 193529802 / 1
LCM(13906,13917) = 193529802

Least Common Multiple (LCM) of 13906 and 13917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13906 and 13917. First we will calculate the prime factors of 13906 and 13917.

Prime Factorization of 13906

Prime factors of 13906 are 2, 17, 409. Prime factorization of 13906 in exponential form is:

13906 = 21 × 171 × 4091

Prime Factorization of 13917

Prime factors of 13917 are 3, 4639. Prime factorization of 13917 in exponential form is:

13917 = 31 × 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 13906 and 13917.

LCM(13906,13917) = 21 × 171 × 4091 × 31 × 46391
LCM(13906,13917) = 193529802