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What is the Least Common Multiple of 18869 and 18881?

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 18869 and 18881 is 356265589.

LCM(18869,18881) = 356265589

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Least Common Multiple of 18869 and 18881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18869 and 18881, than apply into the LCM equation.

GCF(18869,18881) = 1
LCM(18869,18881) = ( 18869 × 18881) / 1
LCM(18869,18881) = 356265589 / 1
LCM(18869,18881) = 356265589

Least Common Multiple (LCM) of 18869 and 18881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18869 and 18881. First we will calculate the prime factors of 18869 and 18881.

Prime Factorization of 18869

Prime factors of 18869 are 18869. Prime factorization of 18869 in exponential form is:

18869 = 188691

Prime Factorization of 18881

Prime factors of 18881 are 79, 239. Prime factorization of 18881 in exponential form is:

18881 = 791 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 18869 and 18881.

LCM(18869,18881) = 188691 × 791 × 2391
LCM(18869,18881) = 356265589