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What is the Least Common Multiple of 13231 and 13246?

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 13231 and 13246 is 175257826.

LCM(13231,13246) = 175257826

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Least Common Multiple of 13231 and 13246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13231 and 13246, than apply into the LCM equation.

GCF(13231,13246) = 1
LCM(13231,13246) = ( 13231 × 13246) / 1
LCM(13231,13246) = 175257826 / 1
LCM(13231,13246) = 175257826

Least Common Multiple (LCM) of 13231 and 13246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13231 and 13246. First we will calculate the prime factors of 13231 and 13246.

Prime Factorization of 13231

Prime factors of 13231 are 101, 131. Prime factorization of 13231 in exponential form is:

13231 = 1011 × 1311

Prime Factorization of 13246

Prime factors of 13246 are 2, 37, 179. Prime factorization of 13246 in exponential form is:

13246 = 21 × 371 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 13231 and 13246.

LCM(13231,13246) = 1011 × 1311 × 21 × 371 × 1791
LCM(13231,13246) = 175257826