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What is the Least Common Multiple of 8102 and 8108?

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 8102 and 8108 is 32845508.

LCM(8102,8108) = 32845508

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Least Common Multiple of 8102 and 8108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8102 and 8108, than apply into the LCM equation.

GCF(8102,8108) = 2
LCM(8102,8108) = ( 8102 × 8108) / 2
LCM(8102,8108) = 65691016 / 2
LCM(8102,8108) = 32845508

Least Common Multiple (LCM) of 8102 and 8108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8102 and 8108. First we will calculate the prime factors of 8102 and 8108.

Prime Factorization of 8102

Prime factors of 8102 are 2, 4051. Prime factorization of 8102 in exponential form is:

8102 = 21 × 40511

Prime Factorization of 8108

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

8108 = 22 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 8102 and 8108.

LCM(8102,8108) = 22 × 40511 × 20271
LCM(8102,8108) = 32845508