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What is the Least Common Multiple of 13868 and 13881?

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 13868 and 13881 is 192501708.

LCM(13868,13881) = 192501708

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Least Common Multiple of 13868 and 13881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13868 and 13881, than apply into the LCM equation.

GCF(13868,13881) = 1
LCM(13868,13881) = ( 13868 × 13881) / 1
LCM(13868,13881) = 192501708 / 1
LCM(13868,13881) = 192501708

Least Common Multiple (LCM) of 13868 and 13881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13868 and 13881. First we will calculate the prime factors of 13868 and 13881.

Prime Factorization of 13868

Prime factors of 13868 are 2, 3467. Prime factorization of 13868 in exponential form is:

13868 = 22 × 34671

Prime Factorization of 13881

Prime factors of 13881 are 3, 7, 661. Prime factorization of 13881 in exponential form is:

13881 = 31 × 71 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 13868 and 13881.

LCM(13868,13881) = 22 × 34671 × 31 × 71 × 6611
LCM(13868,13881) = 192501708