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What is the Least Common Multiple of 13247 and 13251?

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 13251 is 175535997.

LCM(13247,13251) = 175535997

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Least Common Multiple of 13247 and 13251 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 13251, than apply into the LCM equation.

GCF(13247,13251) = 1
LCM(13247,13251) = ( 13247 × 13251) / 1
LCM(13247,13251) = 175535997 / 1
LCM(13247,13251) = 175535997

Least Common Multiple (LCM) of 13247 and 13251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13247 and 13251. First we will calculate the prime factors of 13247 and 13251.

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 13251

Prime factors of 13251 are 3, 7, 631. Prime factorization of 13251 in exponential form is:

13251 = 31 × 71 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 13247 and 13251.

LCM(13247,13251) = 131 × 10191 × 31 × 71 × 6311
LCM(13247,13251) = 175535997