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What is the Least Common Multiple of 17331 and 17345?

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 17331 and 17345 is 300606195.

LCM(17331,17345) = 300606195

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Least Common Multiple of 17331 and 17345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17331 and 17345, than apply into the LCM equation.

GCF(17331,17345) = 1
LCM(17331,17345) = ( 17331 × 17345) / 1
LCM(17331,17345) = 300606195 / 1
LCM(17331,17345) = 300606195

Least Common Multiple (LCM) of 17331 and 17345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17331 and 17345. First we will calculate the prime factors of 17331 and 17345.

Prime Factorization of 17331

Prime factors of 17331 are 3, 53, 109. Prime factorization of 17331 in exponential form is:

17331 = 31 × 531 × 1091

Prime Factorization of 17345

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

17345 = 51 × 34691

Now multiplying the highest exponent prime factors to calculate the LCM of 17331 and 17345.

LCM(17331,17345) = 31 × 531 × 1091 × 51 × 34691
LCM(17331,17345) = 300606195