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What is the Least Common Multiple of 15844 and 15863?

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 15844 and 15863 is 251333372.

LCM(15844,15863) = 251333372

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Least Common Multiple of 15844 and 15863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15844 and 15863, than apply into the LCM equation.

GCF(15844,15863) = 1
LCM(15844,15863) = ( 15844 × 15863) / 1
LCM(15844,15863) = 251333372 / 1
LCM(15844,15863) = 251333372

Least Common Multiple (LCM) of 15844 and 15863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15844 and 15863. First we will calculate the prime factors of 15844 and 15863.

Prime Factorization of 15844

Prime factors of 15844 are 2, 17, 233. Prime factorization of 15844 in exponential form is:

15844 = 22 × 171 × 2331

Prime Factorization of 15863

Prime factors of 15863 are 29, 547. Prime factorization of 15863 in exponential form is:

15863 = 291 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 15844 and 15863.

LCM(15844,15863) = 22 × 171 × 2331 × 291 × 5471
LCM(15844,15863) = 251333372