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What is the Least Common Multiple of 18903 and 18916?

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 18903 and 18916 is 357569148.

LCM(18903,18916) = 357569148

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Least Common Multiple of 18903 and 18916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18903 and 18916, than apply into the LCM equation.

GCF(18903,18916) = 1
LCM(18903,18916) = ( 18903 × 18916) / 1
LCM(18903,18916) = 357569148 / 1
LCM(18903,18916) = 357569148

Least Common Multiple (LCM) of 18903 and 18916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18903 and 18916. First we will calculate the prime factors of 18903 and 18916.

Prime Factorization of 18903

Prime factors of 18903 are 3, 6301. Prime factorization of 18903 in exponential form is:

18903 = 31 × 63011

Prime Factorization of 18916

Prime factors of 18916 are 2, 4729. Prime factorization of 18916 in exponential form is:

18916 = 22 × 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 18903 and 18916.

LCM(18903,18916) = 31 × 63011 × 22 × 47291
LCM(18903,18916) = 357569148