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What is the Least Common Multiple of 17336 and 17355?

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 17336 and 17355 is 300866280.

LCM(17336,17355) = 300866280

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Least Common Multiple of 17336 and 17355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17336 and 17355, than apply into the LCM equation.

GCF(17336,17355) = 1
LCM(17336,17355) = ( 17336 × 17355) / 1
LCM(17336,17355) = 300866280 / 1
LCM(17336,17355) = 300866280

Least Common Multiple (LCM) of 17336 and 17355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17336 and 17355. First we will calculate the prime factors of 17336 and 17355.

Prime Factorization of 17336

Prime factors of 17336 are 2, 11, 197. Prime factorization of 17336 in exponential form is:

17336 = 23 × 111 × 1971

Prime Factorization of 17355

Prime factors of 17355 are 3, 5, 13, 89. Prime factorization of 17355 in exponential form is:

17355 = 31 × 51 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 17336 and 17355.

LCM(17336,17355) = 23 × 111 × 1971 × 31 × 51 × 131 × 891
LCM(17336,17355) = 300866280