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What is the Least Common Multiple of 15863 and 15875?

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 15863 and 15875 is 251825125.

LCM(15863,15875) = 251825125

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Least Common Multiple of 15863 and 15875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15863 and 15875, than apply into the LCM equation.

GCF(15863,15875) = 1
LCM(15863,15875) = ( 15863 × 15875) / 1
LCM(15863,15875) = 251825125 / 1
LCM(15863,15875) = 251825125

Least Common Multiple (LCM) of 15863 and 15875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15863 and 15875. First we will calculate the prime factors of 15863 and 15875.

Prime Factorization of 15863

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

15863 = 291 × 5471

Prime Factorization of 15875

Prime factors of 15875 are 5, 127. Prime factorization of 15875 in exponential form is:

15875 = 53 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 15863 and 15875.

LCM(15863,15875) = 291 × 5471 × 53 × 1271
LCM(15863,15875) = 251825125