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What is the Least Common Multiple of 15263 and 15281?

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 15263 and 15281 is 233233903.

LCM(15263,15281) = 233233903

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Least Common Multiple of 15263 and 15281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15263 and 15281, than apply into the LCM equation.

GCF(15263,15281) = 1
LCM(15263,15281) = ( 15263 × 15281) / 1
LCM(15263,15281) = 233233903 / 1
LCM(15263,15281) = 233233903

Least Common Multiple (LCM) of 15263 and 15281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15263 and 15281. First we will calculate the prime factors of 15263 and 15281.

Prime Factorization of 15263

Prime factors of 15263 are 15263. Prime factorization of 15263 in exponential form is:

15263 = 152631

Prime Factorization of 15281

Prime factors of 15281 are 7, 37, 59. Prime factorization of 15281 in exponential form is:

15281 = 71 × 371 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 15263 and 15281.

LCM(15263,15281) = 152631 × 71 × 371 × 591
LCM(15263,15281) = 233233903