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What is the Least Common Multiple of 17865 and 17885?

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 17865 and 17885 is 63903105.

LCM(17865,17885) = 63903105

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Least Common Multiple of 17865 and 17885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17865 and 17885, than apply into the LCM equation.

GCF(17865,17885) = 5
LCM(17865,17885) = ( 17865 × 17885) / 5
LCM(17865,17885) = 319515525 / 5
LCM(17865,17885) = 63903105

Least Common Multiple (LCM) of 17865 and 17885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17865 and 17885. First we will calculate the prime factors of 17865 and 17885.

Prime Factorization of 17865

Prime factors of 17865 are 3, 5, 397. Prime factorization of 17865 in exponential form is:

17865 = 32 × 51 × 3971

Prime Factorization of 17885

Prime factors of 17885 are 5, 7, 73. Prime factorization of 17885 in exponential form is:

17885 = 51 × 72 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 17865 and 17885.

LCM(17865,17885) = 32 × 51 × 3971 × 72 × 731
LCM(17865,17885) = 63903105