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What is the Least Common Multiple of 17500 and 17511?

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 17500 and 17511 is 306442500.

LCM(17500,17511) = 306442500

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Least Common Multiple of 17500 and 17511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17500 and 17511, than apply into the LCM equation.

GCF(17500,17511) = 1
LCM(17500,17511) = ( 17500 × 17511) / 1
LCM(17500,17511) = 306442500 / 1
LCM(17500,17511) = 306442500

Least Common Multiple (LCM) of 17500 and 17511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17500 and 17511. First we will calculate the prime factors of 17500 and 17511.

Prime Factorization of 17500

Prime factors of 17500 are 2, 5, 7. Prime factorization of 17500 in exponential form is:

17500 = 22 × 54 × 71

Prime Factorization of 17511

Prime factors of 17511 are 3, 13, 449. Prime factorization of 17511 in exponential form is:

17511 = 31 × 131 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 17500 and 17511.

LCM(17500,17511) = 22 × 54 × 71 × 31 × 131 × 4491
LCM(17500,17511) = 306442500