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What is the Least Common Multiple of 17316 and 17334?

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 17316 and 17334 is 16675308.

LCM(17316,17334) = 16675308

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Least Common Multiple of 17316 and 17334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17316 and 17334, than apply into the LCM equation.

GCF(17316,17334) = 18
LCM(17316,17334) = ( 17316 × 17334) / 18
LCM(17316,17334) = 300155544 / 18
LCM(17316,17334) = 16675308

Least Common Multiple (LCM) of 17316 and 17334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17316 and 17334. First we will calculate the prime factors of 17316 and 17334.

Prime Factorization of 17316

Prime factors of 17316 are 2, 3, 13, 37. Prime factorization of 17316 in exponential form is:

17316 = 22 × 32 × 131 × 371

Prime Factorization of 17334

Prime factors of 17334 are 2, 3, 107. Prime factorization of 17334 in exponential form is:

17334 = 21 × 34 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 17316 and 17334.

LCM(17316,17334) = 22 × 34 × 131 × 371 × 1071
LCM(17316,17334) = 16675308