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What is the Least Common Multiple of 28879 and 28894?

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 28879 and 28894 is 834429826.

LCM(28879,28894) = 834429826

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Least Common Multiple of 28879 and 28894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28879 and 28894, than apply into the LCM equation.

GCF(28879,28894) = 1
LCM(28879,28894) = ( 28879 × 28894) / 1
LCM(28879,28894) = 834429826 / 1
LCM(28879,28894) = 834429826

Least Common Multiple (LCM) of 28879 and 28894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28879 and 28894. First we will calculate the prime factors of 28879 and 28894.

Prime Factorization of 28879

Prime factors of 28879 are 28879. Prime factorization of 28879 in exponential form is:

28879 = 288791

Prime Factorization of 28894

Prime factors of 28894 are 2, 14447. Prime factorization of 28894 in exponential form is:

28894 = 21 × 144471

Now multiplying the highest exponent prime factors to calculate the LCM of 28879 and 28894.

LCM(28879,28894) = 288791 × 21 × 144471
LCM(28879,28894) = 834429826