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What is the Least Common Multiple of 17391 and 17402?

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 17391 and 17402 is 27512562.

LCM(17391,17402) = 27512562

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Least Common Multiple of 17391 and 17402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17391 and 17402, than apply into the LCM equation.

GCF(17391,17402) = 11
LCM(17391,17402) = ( 17391 × 17402) / 11
LCM(17391,17402) = 302638182 / 11
LCM(17391,17402) = 27512562

Least Common Multiple (LCM) of 17391 and 17402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17391 and 17402. First we will calculate the prime factors of 17391 and 17402.

Prime Factorization of 17391

Prime factors of 17391 are 3, 11, 17, 31. Prime factorization of 17391 in exponential form is:

17391 = 31 × 111 × 171 × 311

Prime Factorization of 17402

Prime factors of 17402 are 2, 7, 11, 113. Prime factorization of 17402 in exponential form is:

17402 = 21 × 71 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 17391 and 17402.

LCM(17391,17402) = 31 × 111 × 171 × 311 × 21 × 71 × 1131
LCM(17391,17402) = 27512562