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What is the Least Common Multiple of 17484 and 17499?

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 17484 and 17499 is 101984172.

LCM(17484,17499) = 101984172

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Least Common Multiple of 17484 and 17499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17484 and 17499, than apply into the LCM equation.

GCF(17484,17499) = 3
LCM(17484,17499) = ( 17484 × 17499) / 3
LCM(17484,17499) = 305952516 / 3
LCM(17484,17499) = 101984172

Least Common Multiple (LCM) of 17484 and 17499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17484 and 17499. First we will calculate the prime factors of 17484 and 17499.

Prime Factorization of 17484

Prime factors of 17484 are 2, 3, 31, 47. Prime factorization of 17484 in exponential form is:

17484 = 22 × 31 × 311 × 471

Prime Factorization of 17499

Prime factors of 17499 are 3, 19, 307. Prime factorization of 17499 in exponential form is:

17499 = 31 × 191 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 17484 and 17499.

LCM(17484,17499) = 22 × 31 × 311 × 471 × 191 × 3071
LCM(17484,17499) = 101984172