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What is the Least Common Multiple of 16271 and 16284?

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 16271 and 16284 is 264956964.

LCM(16271,16284) = 264956964

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Least Common Multiple of 16271 and 16284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16271 and 16284, than apply into the LCM equation.

GCF(16271,16284) = 1
LCM(16271,16284) = ( 16271 × 16284) / 1
LCM(16271,16284) = 264956964 / 1
LCM(16271,16284) = 264956964

Least Common Multiple (LCM) of 16271 and 16284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16271 and 16284. First we will calculate the prime factors of 16271 and 16284.

Prime Factorization of 16271

Prime factors of 16271 are 53, 307. Prime factorization of 16271 in exponential form is:

16271 = 531 × 3071

Prime Factorization of 16284

Prime factors of 16284 are 2, 3, 23, 59. Prime factorization of 16284 in exponential form is:

16284 = 22 × 31 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 16271 and 16284.

LCM(16271,16284) = 531 × 3071 × 22 × 31 × 231 × 591
LCM(16271,16284) = 264956964