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What is the Least Common Multiple of 17835 and 17851?

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 17835 and 17851 is 318372585.

LCM(17835,17851) = 318372585

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Least Common Multiple of 17835 and 17851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17835 and 17851, than apply into the LCM equation.

GCF(17835,17851) = 1
LCM(17835,17851) = ( 17835 × 17851) / 1
LCM(17835,17851) = 318372585 / 1
LCM(17835,17851) = 318372585

Least Common Multiple (LCM) of 17835 and 17851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17835 and 17851. First we will calculate the prime factors of 17835 and 17851.

Prime Factorization of 17835

Prime factors of 17835 are 3, 5, 29, 41. Prime factorization of 17835 in exponential form is:

17835 = 31 × 51 × 291 × 411

Prime Factorization of 17851

Prime factors of 17851 are 17851. Prime factorization of 17851 in exponential form is:

17851 = 178511

Now multiplying the highest exponent prime factors to calculate the LCM of 17835 and 17851.

LCM(17835,17851) = 31 × 51 × 291 × 411 × 178511
LCM(17835,17851) = 318372585