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What is the Least Common Multiple of 16315 and 16331?

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 16315 and 16331 is 266440265.

LCM(16315,16331) = 266440265

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Least Common Multiple of 16315 and 16331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16315 and 16331, than apply into the LCM equation.

GCF(16315,16331) = 1
LCM(16315,16331) = ( 16315 × 16331) / 1
LCM(16315,16331) = 266440265 / 1
LCM(16315,16331) = 266440265

Least Common Multiple (LCM) of 16315 and 16331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16315 and 16331. First we will calculate the prime factors of 16315 and 16331.

Prime Factorization of 16315

Prime factors of 16315 are 5, 13, 251. Prime factorization of 16315 in exponential form is:

16315 = 51 × 131 × 2511

Prime Factorization of 16331

Prime factors of 16331 are 7, 2333. Prime factorization of 16331 in exponential form is:

16331 = 71 × 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 16315 and 16331.

LCM(16315,16331) = 51 × 131 × 2511 × 71 × 23331
LCM(16315,16331) = 266440265