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What is the Least Common Multiple of 17331 and 17346?

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 17346 is 100207842.

LCM(17331,17346) = 100207842

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Least Common Multiple of 17331 and 17346 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 17346, than apply into the LCM equation.

GCF(17331,17346) = 3
LCM(17331,17346) = ( 17331 × 17346) / 3
LCM(17331,17346) = 300623526 / 3
LCM(17331,17346) = 100207842

Least Common Multiple (LCM) of 17331 and 17346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17331 and 17346. First we will calculate the prime factors of 17331 and 17346.

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 17346

Prime factors of 17346 are 2, 3, 7, 59. Prime factorization of 17346 in exponential form is:

17346 = 21 × 31 × 72 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 17331 and 17346.

LCM(17331,17346) = 31 × 531 × 1091 × 21 × 72 × 591
LCM(17331,17346) = 100207842