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What is the Least Common Multiple of 17345 and 17358?

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 17345 and 17358 is 301074510.

LCM(17345,17358) = 301074510

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Least Common Multiple of 17345 and 17358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17345 and 17358, than apply into the LCM equation.

GCF(17345,17358) = 1
LCM(17345,17358) = ( 17345 × 17358) / 1
LCM(17345,17358) = 301074510 / 1
LCM(17345,17358) = 301074510

Least Common Multiple (LCM) of 17345 and 17358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17345 and 17358. First we will calculate the prime factors of 17345 and 17358.

Prime Factorization of 17345

Prime factors of 17345 are 5, 3469. Prime factorization of 17345 in exponential form is:

17345 = 51 × 34691

Prime Factorization of 17358

Prime factors of 17358 are 2, 3, 11, 263. Prime factorization of 17358 in exponential form is:

17358 = 21 × 31 × 111 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 17345 and 17358.

LCM(17345,17358) = 51 × 34691 × 21 × 31 × 111 × 2631
LCM(17345,17358) = 301074510