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What is the Least Common Multiple of 17395 and 17403?

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 17395 and 17403 is 302725185.

LCM(17395,17403) = 302725185

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Least Common Multiple of 17395 and 17403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17395 and 17403, than apply into the LCM equation.

GCF(17395,17403) = 1
LCM(17395,17403) = ( 17395 × 17403) / 1
LCM(17395,17403) = 302725185 / 1
LCM(17395,17403) = 302725185

Least Common Multiple (LCM) of 17395 and 17403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17395 and 17403. First we will calculate the prime factors of 17395 and 17403.

Prime Factorization of 17395

Prime factors of 17395 are 5, 7, 71. Prime factorization of 17395 in exponential form is:

17395 = 51 × 72 × 711

Prime Factorization of 17403

Prime factors of 17403 are 3, 5801. Prime factorization of 17403 in exponential form is:

17403 = 31 × 58011

Now multiplying the highest exponent prime factors to calculate the LCM of 17395 and 17403.

LCM(17395,17403) = 51 × 72 × 711 × 31 × 58011
LCM(17395,17403) = 302725185