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What is the Least Common Multiple of 17375 and 17394?

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 17375 and 17394 is 302220750.

LCM(17375,17394) = 302220750

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Least Common Multiple of 17375 and 17394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17375 and 17394, than apply into the LCM equation.

GCF(17375,17394) = 1
LCM(17375,17394) = ( 17375 × 17394) / 1
LCM(17375,17394) = 302220750 / 1
LCM(17375,17394) = 302220750

Least Common Multiple (LCM) of 17375 and 17394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17375 and 17394. First we will calculate the prime factors of 17375 and 17394.

Prime Factorization of 17375

Prime factors of 17375 are 5, 139. Prime factorization of 17375 in exponential form is:

17375 = 53 × 1391

Prime Factorization of 17394

Prime factors of 17394 are 2, 3, 13, 223. Prime factorization of 17394 in exponential form is:

17394 = 21 × 31 × 131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 17375 and 17394.

LCM(17375,17394) = 53 × 1391 × 21 × 31 × 131 × 2231
LCM(17375,17394) = 302220750