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What is the Least Common Multiple of 17365 and 17381?

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 17365 and 17381 is 301821065.

LCM(17365,17381) = 301821065

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Least Common Multiple of 17365 and 17381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17365 and 17381, than apply into the LCM equation.

GCF(17365,17381) = 1
LCM(17365,17381) = ( 17365 × 17381) / 1
LCM(17365,17381) = 301821065 / 1
LCM(17365,17381) = 301821065

Least Common Multiple (LCM) of 17365 and 17381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17365 and 17381. First we will calculate the prime factors of 17365 and 17381.

Prime Factorization of 17365

Prime factors of 17365 are 5, 23, 151. Prime factorization of 17365 in exponential form is:

17365 = 51 × 231 × 1511

Prime Factorization of 17381

Prime factors of 17381 are 7, 13, 191. Prime factorization of 17381 in exponential form is:

17381 = 71 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 17365 and 17381.

LCM(17365,17381) = 51 × 231 × 1511 × 71 × 131 × 1911
LCM(17365,17381) = 301821065