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What is the Least Common Multiple of 15893 and 15911?

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 15893 and 15911 is 252873523.

LCM(15893,15911) = 252873523

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Least Common Multiple of 15893 and 15911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15893 and 15911, than apply into the LCM equation.

GCF(15893,15911) = 1
LCM(15893,15911) = ( 15893 × 15911) / 1
LCM(15893,15911) = 252873523 / 1
LCM(15893,15911) = 252873523

Least Common Multiple (LCM) of 15893 and 15911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15893 and 15911. First we will calculate the prime factors of 15893 and 15911.

Prime Factorization of 15893

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

15893 = 231 × 6911

Prime Factorization of 15911

Prime factors of 15911 are 7, 2273. Prime factorization of 15911 in exponential form is:

15911 = 71 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 15893 and 15911.

LCM(15893,15911) = 231 × 6911 × 71 × 22731
LCM(15893,15911) = 252873523