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What is the Least Common Multiple of 17361 and 17368?

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 17361 and 17368 is 301525848.

LCM(17361,17368) = 301525848

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Least Common Multiple of 17361 and 17368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17361 and 17368, than apply into the LCM equation.

GCF(17361,17368) = 1
LCM(17361,17368) = ( 17361 × 17368) / 1
LCM(17361,17368) = 301525848 / 1
LCM(17361,17368) = 301525848

Least Common Multiple (LCM) of 17361 and 17368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17361 and 17368. First we will calculate the prime factors of 17361 and 17368.

Prime Factorization of 17361

Prime factors of 17361 are 3, 643. Prime factorization of 17361 in exponential form is:

17361 = 33 × 6431

Prime Factorization of 17368

Prime factors of 17368 are 2, 13, 167. Prime factorization of 17368 in exponential form is:

17368 = 23 × 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 17361 and 17368.

LCM(17361,17368) = 33 × 6431 × 23 × 131 × 1671
LCM(17361,17368) = 301525848