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What is the Least Common Multiple of 17370 and 17382?

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 17370 and 17382 is 50320890.

LCM(17370,17382) = 50320890

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Least Common Multiple of 17370 and 17382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17370 and 17382, than apply into the LCM equation.

GCF(17370,17382) = 6
LCM(17370,17382) = ( 17370 × 17382) / 6
LCM(17370,17382) = 301925340 / 6
LCM(17370,17382) = 50320890

Least Common Multiple (LCM) of 17370 and 17382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17370 and 17382. First we will calculate the prime factors of 17370 and 17382.

Prime Factorization of 17370

Prime factors of 17370 are 2, 3, 5, 193. Prime factorization of 17370 in exponential form is:

17370 = 21 × 32 × 51 × 1931

Prime Factorization of 17382

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

17382 = 21 × 31 × 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 17370 and 17382.

LCM(17370,17382) = 21 × 32 × 51 × 1931 × 28971
LCM(17370,17382) = 50320890