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What is the Least Common Multiple of 8085 and 8099?

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 8085 and 8099 is 9354345.

LCM(8085,8099) = 9354345

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Least Common Multiple of 8085 and 8099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8085 and 8099, than apply into the LCM equation.

GCF(8085,8099) = 7
LCM(8085,8099) = ( 8085 × 8099) / 7
LCM(8085,8099) = 65480415 / 7
LCM(8085,8099) = 9354345

Least Common Multiple (LCM) of 8085 and 8099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8085 and 8099. First we will calculate the prime factors of 8085 and 8099.

Prime Factorization of 8085

Prime factors of 8085 are 3, 5, 7, 11. Prime factorization of 8085 in exponential form is:

8085 = 31 × 51 × 72 × 111

Prime Factorization of 8099

Prime factors of 8099 are 7, 13, 89. Prime factorization of 8099 in exponential form is:

8099 = 71 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 8085 and 8099.

LCM(8085,8099) = 31 × 51 × 72 × 111 × 131 × 891
LCM(8085,8099) = 9354345