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What is the Least Common Multiple of 13217 and 13237?

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 13217 and 13237 is 174953429.

LCM(13217,13237) = 174953429

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Least Common Multiple of 13217 and 13237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13217 and 13237, than apply into the LCM equation.

GCF(13217,13237) = 1
LCM(13217,13237) = ( 13217 × 13237) / 1
LCM(13217,13237) = 174953429 / 1
LCM(13217,13237) = 174953429

Least Common Multiple (LCM) of 13217 and 13237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13217 and 13237. First we will calculate the prime factors of 13217 and 13237.

Prime Factorization of 13217

Prime factors of 13217 are 13217. Prime factorization of 13217 in exponential form is:

13217 = 132171

Prime Factorization of 13237

Prime factors of 13237 are 7, 31, 61. Prime factorization of 13237 in exponential form is:

13237 = 71 × 311 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 13217 and 13237.

LCM(13217,13237) = 132171 × 71 × 311 × 611
LCM(13217,13237) = 174953429