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What is the Least Common Multiple of 16331 and 16335?

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 16331 and 16335 is 266766885.

LCM(16331,16335) = 266766885

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Least Common Multiple of 16331 and 16335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16331 and 16335, than apply into the LCM equation.

GCF(16331,16335) = 1
LCM(16331,16335) = ( 16331 × 16335) / 1
LCM(16331,16335) = 266766885 / 1
LCM(16331,16335) = 266766885

Least Common Multiple (LCM) of 16331 and 16335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16331 and 16335. First we will calculate the prime factors of 16331 and 16335.

Prime Factorization of 16331

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

16331 = 71 × 23331

Prime Factorization of 16335

Prime factors of 16335 are 3, 5, 11. Prime factorization of 16335 in exponential form is:

16335 = 33 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 16331 and 16335.

LCM(16331,16335) = 71 × 23331 × 33 × 51 × 112
LCM(16331,16335) = 266766885