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What is the Least Common Multiple of 28173 and 28178?

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 28173 and 28178 is 793858794.

LCM(28173,28178) = 793858794

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Least Common Multiple of 28173 and 28178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28173 and 28178, than apply into the LCM equation.

GCF(28173,28178) = 1
LCM(28173,28178) = ( 28173 × 28178) / 1
LCM(28173,28178) = 793858794 / 1
LCM(28173,28178) = 793858794

Least Common Multiple (LCM) of 28173 and 28178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28173 and 28178. First we will calculate the prime factors of 28173 and 28178.

Prime Factorization of 28173

Prime factors of 28173 are 3, 9391. Prime factorization of 28173 in exponential form is:

28173 = 31 × 93911

Prime Factorization of 28178

Prime factors of 28178 are 2, 73, 193. Prime factorization of 28178 in exponential form is:

28178 = 21 × 731 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 28173 and 28178.

LCM(28173,28178) = 31 × 93911 × 21 × 731 × 1931
LCM(28173,28178) = 793858794