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What is the Least Common Multiple of 17499 and 17510?

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 17499 and 17510 is 306407490.

LCM(17499,17510) = 306407490

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Least Common Multiple of 17499 and 17510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17499 and 17510, than apply into the LCM equation.

GCF(17499,17510) = 1
LCM(17499,17510) = ( 17499 × 17510) / 1
LCM(17499,17510) = 306407490 / 1
LCM(17499,17510) = 306407490

Least Common Multiple (LCM) of 17499 and 17510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17499 and 17510. First we will calculate the prime factors of 17499 and 17510.

Prime Factorization of 17499

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

17499 = 31 × 191 × 3071

Prime Factorization of 17510

Prime factors of 17510 are 2, 5, 17, 103. Prime factorization of 17510 in exponential form is:

17510 = 21 × 51 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 17499 and 17510.

LCM(17499,17510) = 31 × 191 × 3071 × 21 × 51 × 171 × 1031
LCM(17499,17510) = 306407490