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What is the Least Common Multiple of 17876 and 17896?

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 17876 and 17896 is 79977224.

LCM(17876,17896) = 79977224

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Least Common Multiple of 17876 and 17896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17876 and 17896, than apply into the LCM equation.

GCF(17876,17896) = 4
LCM(17876,17896) = ( 17876 × 17896) / 4
LCM(17876,17896) = 319908896 / 4
LCM(17876,17896) = 79977224

Least Common Multiple (LCM) of 17876 and 17896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17876 and 17896. First we will calculate the prime factors of 17876 and 17896.

Prime Factorization of 17876

Prime factors of 17876 are 2, 41, 109. Prime factorization of 17876 in exponential form is:

17876 = 22 × 411 × 1091

Prime Factorization of 17896

Prime factors of 17896 are 2, 2237. Prime factorization of 17896 in exponential form is:

17896 = 23 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 17876 and 17896.

LCM(17876,17896) = 23 × 411 × 1091 × 22371
LCM(17876,17896) = 79977224