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What is the Least Common Multiple of 17190 and 17210?

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 17210 is 29583990.

LCM(17190,17210) = 29583990

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Least Common Multiple of 17190 and 17210 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 17210, than apply into the LCM equation.

GCF(17190,17210) = 10
LCM(17190,17210) = ( 17190 × 17210) / 10
LCM(17190,17210) = 295839900 / 10
LCM(17190,17210) = 29583990

Least Common Multiple (LCM) of 17190 and 17210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17190 and 17210. First we will calculate the prime factors of 17190 and 17210.

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 17210

Prime factors of 17210 are 2, 5, 1721. Prime factorization of 17210 in exponential form is:

17210 = 21 × 51 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 17190 and 17210.

LCM(17190,17210) = 21 × 32 × 51 × 1911 × 17211
LCM(17190,17210) = 29583990