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What is the Least Common Multiple of 17879 and 17887?

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 17879 and 17887 is 319801673.

LCM(17879,17887) = 319801673

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Least Common Multiple of 17879 and 17887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17879 and 17887, than apply into the LCM equation.

GCF(17879,17887) = 1
LCM(17879,17887) = ( 17879 × 17887) / 1
LCM(17879,17887) = 319801673 / 1
LCM(17879,17887) = 319801673

Least Common Multiple (LCM) of 17879 and 17887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17879 and 17887. First we will calculate the prime factors of 17879 and 17887.

Prime Factorization of 17879

Prime factors of 17879 are 19, 941. Prime factorization of 17879 in exponential form is:

17879 = 191 × 9411

Prime Factorization of 17887

Prime factors of 17887 are 31, 577. Prime factorization of 17887 in exponential form is:

17887 = 311 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 17879 and 17887.

LCM(17879,17887) = 191 × 9411 × 311 × 5771
LCM(17879,17887) = 319801673