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What is the Least Common Multiple of 17845 and 17855?

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 17845 and 17855 is 63724495.

LCM(17845,17855) = 63724495

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Least Common Multiple of 17845 and 17855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17845 and 17855, than apply into the LCM equation.

GCF(17845,17855) = 5
LCM(17845,17855) = ( 17845 × 17855) / 5
LCM(17845,17855) = 318622475 / 5
LCM(17845,17855) = 63724495

Least Common Multiple (LCM) of 17845 and 17855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17845 and 17855. First we will calculate the prime factors of 17845 and 17855.

Prime Factorization of 17845

Prime factors of 17845 are 5, 43, 83. Prime factorization of 17845 in exponential form is:

17845 = 51 × 431 × 831

Prime Factorization of 17855

Prime factors of 17855 are 5, 3571. Prime factorization of 17855 in exponential form is:

17855 = 51 × 35711

Now multiplying the highest exponent prime factors to calculate the LCM of 17845 and 17855.

LCM(17845,17855) = 51 × 431 × 831 × 35711
LCM(17845,17855) = 63724495