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What is the Least Common Multiple of 18873 and 18879?

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 18873 and 18879 is 118767789.

LCM(18873,18879) = 118767789

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Least Common Multiple of 18873 and 18879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18873 and 18879, than apply into the LCM equation.

GCF(18873,18879) = 3
LCM(18873,18879) = ( 18873 × 18879) / 3
LCM(18873,18879) = 356303367 / 3
LCM(18873,18879) = 118767789

Least Common Multiple (LCM) of 18873 and 18879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18873 and 18879. First we will calculate the prime factors of 18873 and 18879.

Prime Factorization of 18873

Prime factors of 18873 are 3, 233. Prime factorization of 18873 in exponential form is:

18873 = 34 × 2331

Prime Factorization of 18879

Prime factors of 18879 are 3, 7, 29, 31. Prime factorization of 18879 in exponential form is:

18879 = 31 × 71 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18873 and 18879.

LCM(18873,18879) = 34 × 2331 × 71 × 291 × 311
LCM(18873,18879) = 118767789