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What is the Least Common Multiple of 17190 and 17200?

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 17190 and 17200 is 29566800.

LCM(17190,17200) = 29566800

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Least Common Multiple of 17190 and 17200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17190 and 17200, than apply into the LCM equation.

GCF(17190,17200) = 10
LCM(17190,17200) = ( 17190 × 17200) / 10
LCM(17190,17200) = 295668000 / 10
LCM(17190,17200) = 29566800

Least Common Multiple (LCM) of 17190 and 17200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17190 and 17200. First we will calculate the prime factors of 17190 and 17200.

Prime Factorization of 17190

Prime factors of 17190 are 2, 3, 5, 191. Prime factorization of 17190 in exponential form is:

17190 = 21 × 32 × 51 × 1911

Prime Factorization of 17200

Prime factors of 17200 are 2, 5, 43. Prime factorization of 17200 in exponential form is:

17200 = 24 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 17190 and 17200.

LCM(17190,17200) = 24 × 32 × 52 × 1911 × 431
LCM(17190,17200) = 29566800