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What is the Least Common Multiple of 16311 and 16315?

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 16311 and 16315 is 266113965.

LCM(16311,16315) = 266113965

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Least Common Multiple of 16311 and 16315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16311 and 16315, than apply into the LCM equation.

GCF(16311,16315) = 1
LCM(16311,16315) = ( 16311 × 16315) / 1
LCM(16311,16315) = 266113965 / 1
LCM(16311,16315) = 266113965

Least Common Multiple (LCM) of 16311 and 16315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16311 and 16315. First we will calculate the prime factors of 16311 and 16315.

Prime Factorization of 16311

Prime factors of 16311 are 3, 5437. Prime factorization of 16311 in exponential form is:

16311 = 31 × 54371

Prime Factorization of 16315

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

16315 = 51 × 131 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 16311 and 16315.

LCM(16311,16315) = 31 × 54371 × 51 × 131 × 2511
LCM(16311,16315) = 266113965