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What is the Least Common Multiple of 13271 and 13284?

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 13271 and 13284 is 176291964.

LCM(13271,13284) = 176291964

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Least Common Multiple of 13271 and 13284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13271 and 13284, than apply into the LCM equation.

GCF(13271,13284) = 1
LCM(13271,13284) = ( 13271 × 13284) / 1
LCM(13271,13284) = 176291964 / 1
LCM(13271,13284) = 176291964

Least Common Multiple (LCM) of 13271 and 13284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13271 and 13284. First we will calculate the prime factors of 13271 and 13284.

Prime Factorization of 13271

Prime factors of 13271 are 23, 577. Prime factorization of 13271 in exponential form is:

13271 = 231 × 5771

Prime Factorization of 13284

Prime factors of 13284 are 2, 3, 41. Prime factorization of 13284 in exponential form is:

13284 = 22 × 34 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13271 and 13284.

LCM(13271,13284) = 231 × 5771 × 22 × 34 × 411
LCM(13271,13284) = 176291964