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What is the Least Common Multiple of 3094 and 3099?

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 3094 and 3099 is 9588306.

LCM(3094,3099) = 9588306

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Least Common Multiple of 3094 and 3099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3094 and 3099, than apply into the LCM equation.

GCF(3094,3099) = 1
LCM(3094,3099) = ( 3094 × 3099) / 1
LCM(3094,3099) = 9588306 / 1
LCM(3094,3099) = 9588306

Least Common Multiple (LCM) of 3094 and 3099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3094 and 3099. First we will calculate the prime factors of 3094 and 3099.

Prime Factorization of 3094

Prime factors of 3094 are 2, 7, 13, 17. Prime factorization of 3094 in exponential form is:

3094 = 21 × 71 × 131 × 171

Prime Factorization of 3099

Prime factors of 3099 are 3, 1033. Prime factorization of 3099 in exponential form is:

3099 = 31 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 3094 and 3099.

LCM(3094,3099) = 21 × 71 × 131 × 171 × 31 × 10331
LCM(3094,3099) = 9588306