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What is the Least Common Multiple of 15887 and 15893?

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 15887 and 15893 is 252492091.

LCM(15887,15893) = 252492091

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Least Common Multiple of 15887 and 15893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15887 and 15893, than apply into the LCM equation.

GCF(15887,15893) = 1
LCM(15887,15893) = ( 15887 × 15893) / 1
LCM(15887,15893) = 252492091 / 1
LCM(15887,15893) = 252492091

Least Common Multiple (LCM) of 15887 and 15893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15887 and 15893. First we will calculate the prime factors of 15887 and 15893.

Prime Factorization of 15887

Prime factors of 15887 are 15887. Prime factorization of 15887 in exponential form is:

15887 = 158871

Prime Factorization of 15893

Prime factors of 15893 are 23, 691. Prime factorization of 15893 in exponential form is:

15893 = 231 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 15887 and 15893.

LCM(15887,15893) = 158871 × 231 × 6911
LCM(15887,15893) = 252492091