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What is the Least Common Multiple of 13867 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 13867 and 13881 is 27498261.

LCM(13867,13881) = 27498261

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Least Common Multiple of 13867 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 13867 and 13881, than apply into the LCM equation.

GCF(13867,13881) = 7
LCM(13867,13881) = ( 13867 × 13881) / 7
LCM(13867,13881) = 192487827 / 7
LCM(13867,13881) = 27498261

Least Common Multiple (LCM) of 13867 and 13881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13867 and 13881. First we will calculate the prime factors of 13867 and 13881.

Prime Factorization of 13867

Prime factors of 13867 are 7, 283. Prime factorization of 13867 in exponential form is:

13867 = 72 × 2831

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 13867 and 13881.

LCM(13867,13881) = 72 × 2831 × 31 × 6611
LCM(13867,13881) = 27498261