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What is the Least Common Multiple of 16267 and 16282?

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 16267 and 16282 is 264859294.

LCM(16267,16282) = 264859294

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Least Common Multiple of 16267 and 16282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16267 and 16282, than apply into the LCM equation.

GCF(16267,16282) = 1
LCM(16267,16282) = ( 16267 × 16282) / 1
LCM(16267,16282) = 264859294 / 1
LCM(16267,16282) = 264859294

Least Common Multiple (LCM) of 16267 and 16282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16267 and 16282. First we will calculate the prime factors of 16267 and 16282.

Prime Factorization of 16267

Prime factors of 16267 are 16267. Prime factorization of 16267 in exponential form is:

16267 = 162671

Prime Factorization of 16282

Prime factors of 16282 are 2, 7, 1163. Prime factorization of 16282 in exponential form is:

16282 = 21 × 71 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 16267 and 16282.

LCM(16267,16282) = 162671 × 21 × 71 × 11631
LCM(16267,16282) = 264859294