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What is the Least Common Multiple of 76876 and 76894?

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 76876 and 76894 is 2955651572.

LCM(76876,76894) = 2955651572

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Least Common Multiple of 76876 and 76894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76876 and 76894, than apply into the LCM equation.

GCF(76876,76894) = 2
LCM(76876,76894) = ( 76876 × 76894) / 2
LCM(76876,76894) = 5911303144 / 2
LCM(76876,76894) = 2955651572

Least Common Multiple (LCM) of 76876 and 76894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76876 and 76894. First we will calculate the prime factors of 76876 and 76894.

Prime Factorization of 76876

Prime factors of 76876 are 2, 19219. Prime factorization of 76876 in exponential form is:

76876 = 22 × 192191

Prime Factorization of 76894

Prime factors of 76894 are 2, 38447. Prime factorization of 76894 in exponential form is:

76894 = 21 × 384471

Now multiplying the highest exponent prime factors to calculate the LCM of 76876 and 76894.

LCM(76876,76894) = 22 × 192191 × 384471
LCM(76876,76894) = 2955651572