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What is the Least Common Multiple of 3088 and 3093?

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 3088 and 3093 is 9551184.

LCM(3088,3093) = 9551184

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Least Common Multiple of 3088 and 3093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3088 and 3093, than apply into the LCM equation.

GCF(3088,3093) = 1
LCM(3088,3093) = ( 3088 × 3093) / 1
LCM(3088,3093) = 9551184 / 1
LCM(3088,3093) = 9551184

Least Common Multiple (LCM) of 3088 and 3093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3088 and 3093. First we will calculate the prime factors of 3088 and 3093.

Prime Factorization of 3088

Prime factors of 3088 are 2, 193. Prime factorization of 3088 in exponential form is:

3088 = 24 × 1931

Prime Factorization of 3093

Prime factors of 3093 are 3, 1031. Prime factorization of 3093 in exponential form is:

3093 = 31 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 3088 and 3093.

LCM(3088,3093) = 24 × 1931 × 31 × 10311
LCM(3088,3093) = 9551184