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What is the Least Common Multiple of 8157 and 8173?

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 8157 and 8173 is 66667161.

LCM(8157,8173) = 66667161

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Least Common Multiple of 8157 and 8173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8157 and 8173, than apply into the LCM equation.

GCF(8157,8173) = 1
LCM(8157,8173) = ( 8157 × 8173) / 1
LCM(8157,8173) = 66667161 / 1
LCM(8157,8173) = 66667161

Least Common Multiple (LCM) of 8157 and 8173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8157 and 8173. First we will calculate the prime factors of 8157 and 8173.

Prime Factorization of 8157

Prime factors of 8157 are 3, 2719. Prime factorization of 8157 in exponential form is:

8157 = 31 × 27191

Prime Factorization of 8173

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

8173 = 111 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 8157 and 8173.

LCM(8157,8173) = 31 × 27191 × 111 × 7431
LCM(8157,8173) = 66667161