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What is the Least Common Multiple of 13247 and 13254?

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 13247 and 13254 is 175575738.

LCM(13247,13254) = 175575738

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Least Common Multiple of 13247 and 13254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13247 and 13254, than apply into the LCM equation.

GCF(13247,13254) = 1
LCM(13247,13254) = ( 13247 × 13254) / 1
LCM(13247,13254) = 175575738 / 1
LCM(13247,13254) = 175575738

Least Common Multiple (LCM) of 13247 and 13254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13247 and 13254. First we will calculate the prime factors of 13247 and 13254.

Prime Factorization of 13247

Prime factors of 13247 are 13, 1019. Prime factorization of 13247 in exponential form is:

13247 = 131 × 10191

Prime Factorization of 13254

Prime factors of 13254 are 2, 3, 47. Prime factorization of 13254 in exponential form is:

13254 = 21 × 31 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 13247 and 13254.

LCM(13247,13254) = 131 × 10191 × 21 × 31 × 472
LCM(13247,13254) = 175575738