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What is the Least Common Multiple of 8157 and 8165?

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 8165 is 66601905.

LCM(8157,8165) = 66601905

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Least Common Multiple of 8157 and 8165 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 8165, than apply into the LCM equation.

GCF(8157,8165) = 1
LCM(8157,8165) = ( 8157 × 8165) / 1
LCM(8157,8165) = 66601905 / 1
LCM(8157,8165) = 66601905

Least Common Multiple (LCM) of 8157 and 8165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8157 and 8165. First we will calculate the prime factors of 8157 and 8165.

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 8165

Prime factors of 8165 are 5, 23, 71. Prime factorization of 8165 in exponential form is:

8165 = 51 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 8157 and 8165.

LCM(8157,8165) = 31 × 27191 × 51 × 231 × 711
LCM(8157,8165) = 66601905