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What is the Least Common Multiple of 16257 and 16271?

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 16257 and 16271 is 264517647.

LCM(16257,16271) = 264517647

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Least Common Multiple of 16257 and 16271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16257 and 16271, than apply into the LCM equation.

GCF(16257,16271) = 1
LCM(16257,16271) = ( 16257 × 16271) / 1
LCM(16257,16271) = 264517647 / 1
LCM(16257,16271) = 264517647

Least Common Multiple (LCM) of 16257 and 16271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16257 and 16271. First we will calculate the prime factors of 16257 and 16271.

Prime Factorization of 16257

Prime factors of 16257 are 3, 5419. Prime factorization of 16257 in exponential form is:

16257 = 31 × 54191

Prime Factorization of 16271

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

16271 = 531 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 16257 and 16271.

LCM(16257,16271) = 31 × 54191 × 531 × 3071
LCM(16257,16271) = 264517647