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What is the Least Common Multiple of 8116 and 8134?

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 8116 and 8134 is 33007772.

LCM(8116,8134) = 33007772

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Least Common Multiple of 8116 and 8134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8116 and 8134, than apply into the LCM equation.

GCF(8116,8134) = 2
LCM(8116,8134) = ( 8116 × 8134) / 2
LCM(8116,8134) = 66015544 / 2
LCM(8116,8134) = 33007772

Least Common Multiple (LCM) of 8116 and 8134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8116 and 8134. First we will calculate the prime factors of 8116 and 8134.

Prime Factorization of 8116

Prime factors of 8116 are 2, 2029. Prime factorization of 8116 in exponential form is:

8116 = 22 × 20291

Prime Factorization of 8134

Prime factors of 8134 are 2, 7, 83. Prime factorization of 8134 in exponential form is:

8134 = 21 × 72 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 8116 and 8134.

LCM(8116,8134) = 22 × 20291 × 72 × 831
LCM(8116,8134) = 33007772