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What is the Least Common Multiple of 8109 and 8116?

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 8109 and 8116 is 65812644.

LCM(8109,8116) = 65812644

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Least Common Multiple of 8109 and 8116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8109 and 8116, than apply into the LCM equation.

GCF(8109,8116) = 1
LCM(8109,8116) = ( 8109 × 8116) / 1
LCM(8109,8116) = 65812644 / 1
LCM(8109,8116) = 65812644

Least Common Multiple (LCM) of 8109 and 8116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8109 and 8116. First we will calculate the prime factors of 8109 and 8116.

Prime Factorization of 8109

Prime factors of 8109 are 3, 17, 53. Prime factorization of 8109 in exponential form is:

8109 = 32 × 171 × 531

Prime Factorization of 8116

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

8116 = 22 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 8109 and 8116.

LCM(8109,8116) = 32 × 171 × 531 × 22 × 20291
LCM(8109,8116) = 65812644