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What is the Least Common Multiple of 13243 and 13258?

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 13243 and 13258 is 175575694.

LCM(13243,13258) = 175575694

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Least Common Multiple of 13243 and 13258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13243 and 13258, than apply into the LCM equation.

GCF(13243,13258) = 1
LCM(13243,13258) = ( 13243 × 13258) / 1
LCM(13243,13258) = 175575694 / 1
LCM(13243,13258) = 175575694

Least Common Multiple (LCM) of 13243 and 13258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13243 and 13258. First we will calculate the prime factors of 13243 and 13258.

Prime Factorization of 13243

Prime factors of 13243 are 17, 19, 41. Prime factorization of 13243 in exponential form is:

13243 = 171 × 191 × 411

Prime Factorization of 13258

Prime factors of 13258 are 2, 7, 947. Prime factorization of 13258 in exponential form is:

13258 = 21 × 71 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 13243 and 13258.

LCM(13243,13258) = 171 × 191 × 411 × 21 × 71 × 9471
LCM(13243,13258) = 175575694