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What is the Least Common Multiple of 8173 and 8178?

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 8173 and 8178 is 66838794.

LCM(8173,8178) = 66838794

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Least Common Multiple of 8173 and 8178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8173 and 8178, than apply into the LCM equation.

GCF(8173,8178) = 1
LCM(8173,8178) = ( 8173 × 8178) / 1
LCM(8173,8178) = 66838794 / 1
LCM(8173,8178) = 66838794

Least Common Multiple (LCM) of 8173 and 8178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8173 and 8178. First we will calculate the prime factors of 8173 and 8178.

Prime Factorization of 8173

Prime factors of 8173 are 11, 743. Prime factorization of 8173 in exponential form is:

8173 = 111 × 7431

Prime Factorization of 8178

Prime factors of 8178 are 2, 3, 29, 47. Prime factorization of 8178 in exponential form is:

8178 = 21 × 31 × 291 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8173 and 8178.

LCM(8173,8178) = 111 × 7431 × 21 × 31 × 291 × 471
LCM(8173,8178) = 66838794