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What is the Least Common Multiple of 15283 and 15298?

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 15283 and 15298 is 233799334.

LCM(15283,15298) = 233799334

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Least Common Multiple of 15283 and 15298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15283 and 15298, than apply into the LCM equation.

GCF(15283,15298) = 1
LCM(15283,15298) = ( 15283 × 15298) / 1
LCM(15283,15298) = 233799334 / 1
LCM(15283,15298) = 233799334

Least Common Multiple (LCM) of 15283 and 15298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15283 and 15298. First we will calculate the prime factors of 15283 and 15298.

Prime Factorization of 15283

Prime factors of 15283 are 17, 29, 31. Prime factorization of 15283 in exponential form is:

15283 = 171 × 291 × 311

Prime Factorization of 15298

Prime factors of 15298 are 2, 7649. Prime factorization of 15298 in exponential form is:

15298 = 21 × 76491

Now multiplying the highest exponent prime factors to calculate the LCM of 15283 and 15298.

LCM(15283,15298) = 171 × 291 × 311 × 21 × 76491
LCM(15283,15298) = 233799334