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What is the Least Common Multiple of 17382 and 17387?

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 17382 and 17387 is 302220834.

LCM(17382,17387) = 302220834

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Least Common Multiple of 17382 and 17387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17382 and 17387, than apply into the LCM equation.

GCF(17382,17387) = 1
LCM(17382,17387) = ( 17382 × 17387) / 1
LCM(17382,17387) = 302220834 / 1
LCM(17382,17387) = 302220834

Least Common Multiple (LCM) of 17382 and 17387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17382 and 17387. First we will calculate the prime factors of 17382 and 17387.

Prime Factorization of 17382

Prime factors of 17382 are 2, 3, 2897. Prime factorization of 17382 in exponential form is:

17382 = 21 × 31 × 28971

Prime Factorization of 17387

Prime factors of 17387 are 17387. Prime factorization of 17387 in exponential form is:

17387 = 173871

Now multiplying the highest exponent prime factors to calculate the LCM of 17382 and 17387.

LCM(17382,17387) = 21 × 31 × 28971 × 173871
LCM(17382,17387) = 302220834