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What is the Least Common Multiple of 18817 and 18823?

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 18817 and 18823 is 354192391.

LCM(18817,18823) = 354192391

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Least Common Multiple of 18817 and 18823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18817 and 18823, than apply into the LCM equation.

GCF(18817,18823) = 1
LCM(18817,18823) = ( 18817 × 18823) / 1
LCM(18817,18823) = 354192391 / 1
LCM(18817,18823) = 354192391

Least Common Multiple (LCM) of 18817 and 18823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18817 and 18823. First we will calculate the prime factors of 18817 and 18823.

Prime Factorization of 18817

Prime factors of 18817 are 31, 607. Prime factorization of 18817 in exponential form is:

18817 = 311 × 6071

Prime Factorization of 18823

Prime factors of 18823 are 7, 2689. Prime factorization of 18823 in exponential form is:

18823 = 71 × 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 18817 and 18823.

LCM(18817,18823) = 311 × 6071 × 71 × 26891
LCM(18817,18823) = 354192391