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What is the Least Common Multiple of 8108 and 8126?

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 8108 and 8126 is 32942804.

LCM(8108,8126) = 32942804

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Least Common Multiple of 8108 and 8126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8108 and 8126, than apply into the LCM equation.

GCF(8108,8126) = 2
LCM(8108,8126) = ( 8108 × 8126) / 2
LCM(8108,8126) = 65885608 / 2
LCM(8108,8126) = 32942804

Least Common Multiple (LCM) of 8108 and 8126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8108 and 8126. First we will calculate the prime factors of 8108 and 8126.

Prime Factorization of 8108

Prime factors of 8108 are 2, 2027. Prime factorization of 8108 in exponential form is:

8108 = 22 × 20271

Prime Factorization of 8126

Prime factors of 8126 are 2, 17, 239. Prime factorization of 8126 in exponential form is:

8126 = 21 × 171 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 8108 and 8126.

LCM(8108,8126) = 22 × 20271 × 171 × 2391
LCM(8108,8126) = 32942804