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What is the Least Common Multiple of 13887 and 13896?

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 13887 and 13896 is 21441528.

LCM(13887,13896) = 21441528

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Least Common Multiple of 13887 and 13896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13887 and 13896, than apply into the LCM equation.

GCF(13887,13896) = 9
LCM(13887,13896) = ( 13887 × 13896) / 9
LCM(13887,13896) = 192973752 / 9
LCM(13887,13896) = 21441528

Least Common Multiple (LCM) of 13887 and 13896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13887 and 13896. First we will calculate the prime factors of 13887 and 13896.

Prime Factorization of 13887

Prime factors of 13887 are 3, 1543. Prime factorization of 13887 in exponential form is:

13887 = 32 × 15431

Prime Factorization of 13896

Prime factors of 13896 are 2, 3, 193. Prime factorization of 13896 in exponential form is:

13896 = 23 × 32 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 13887 and 13896.

LCM(13887,13896) = 32 × 15431 × 23 × 1931
LCM(13887,13896) = 21441528