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What is the Least Common Multiple of 17190 and 17197?

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 17197 is 295616430.

LCM(17190,17197) = 295616430

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Least Common Multiple of 17190 and 17197 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 17197, than apply into the LCM equation.

GCF(17190,17197) = 1
LCM(17190,17197) = ( 17190 × 17197) / 1
LCM(17190,17197) = 295616430 / 1
LCM(17190,17197) = 295616430

Least Common Multiple (LCM) of 17190 and 17197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17190 and 17197. First we will calculate the prime factors of 17190 and 17197.

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 17197

Prime factors of 17197 are 29, 593. Prime factorization of 17197 in exponential form is:

17197 = 291 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 17190 and 17197.

LCM(17190,17197) = 21 × 32 × 51 × 1911 × 291 × 5931
LCM(17190,17197) = 295616430