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What is the Least Common Multiple of 17325 and 17344?

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 17325 and 17344 is 300484800.

LCM(17325,17344) = 300484800

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Least Common Multiple of 17325 and 17344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17325 and 17344, than apply into the LCM equation.

GCF(17325,17344) = 1
LCM(17325,17344) = ( 17325 × 17344) / 1
LCM(17325,17344) = 300484800 / 1
LCM(17325,17344) = 300484800

Least Common Multiple (LCM) of 17325 and 17344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17325 and 17344. First we will calculate the prime factors of 17325 and 17344.

Prime Factorization of 17325

Prime factors of 17325 are 3, 5, 7, 11. Prime factorization of 17325 in exponential form is:

17325 = 32 × 52 × 71 × 111

Prime Factorization of 17344

Prime factors of 17344 are 2, 271. Prime factorization of 17344 in exponential form is:

17344 = 26 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 17325 and 17344.

LCM(17325,17344) = 32 × 52 × 71 × 111 × 26 × 2711
LCM(17325,17344) = 300484800