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What is the Least Common Multiple of 17213 and 17229?

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 17213 and 17229 is 296562777.

LCM(17213,17229) = 296562777

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Least Common Multiple of 17213 and 17229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17213 and 17229, than apply into the LCM equation.

GCF(17213,17229) = 1
LCM(17213,17229) = ( 17213 × 17229) / 1
LCM(17213,17229) = 296562777 / 1
LCM(17213,17229) = 296562777

Least Common Multiple (LCM) of 17213 and 17229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17213 and 17229. First we will calculate the prime factors of 17213 and 17229.

Prime Factorization of 17213

Prime factors of 17213 are 7, 2459. Prime factorization of 17213 in exponential form is:

17213 = 71 × 24591

Prime Factorization of 17229

Prime factors of 17229 are 3, 5743. Prime factorization of 17229 in exponential form is:

17229 = 31 × 57431

Now multiplying the highest exponent prime factors to calculate the LCM of 17213 and 17229.

LCM(17213,17229) = 71 × 24591 × 31 × 57431
LCM(17213,17229) = 296562777