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What is the Least Common Multiple of 17815 and 17828?

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 17815 and 17828 is 317605820.

LCM(17815,17828) = 317605820

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Least Common Multiple of 17815 and 17828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17815 and 17828, than apply into the LCM equation.

GCF(17815,17828) = 1
LCM(17815,17828) = ( 17815 × 17828) / 1
LCM(17815,17828) = 317605820 / 1
LCM(17815,17828) = 317605820

Least Common Multiple (LCM) of 17815 and 17828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17815 and 17828. First we will calculate the prime factors of 17815 and 17828.

Prime Factorization of 17815

Prime factors of 17815 are 5, 7, 509. Prime factorization of 17815 in exponential form is:

17815 = 51 × 71 × 5091

Prime Factorization of 17828

Prime factors of 17828 are 2, 4457. Prime factorization of 17828 in exponential form is:

17828 = 22 × 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 17815 and 17828.

LCM(17815,17828) = 51 × 71 × 5091 × 22 × 44571
LCM(17815,17828) = 317605820