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What is the Least Common Multiple of 3081 and 3096?

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 3081 and 3096 is 3179592.

LCM(3081,3096) = 3179592

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Least Common Multiple of 3081 and 3096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3081 and 3096, than apply into the LCM equation.

GCF(3081,3096) = 3
LCM(3081,3096) = ( 3081 × 3096) / 3
LCM(3081,3096) = 9538776 / 3
LCM(3081,3096) = 3179592

Least Common Multiple (LCM) of 3081 and 3096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3081 and 3096. First we will calculate the prime factors of 3081 and 3096.

Prime Factorization of 3081

Prime factors of 3081 are 3, 13, 79. Prime factorization of 3081 in exponential form is:

3081 = 31 × 131 × 791

Prime Factorization of 3096

Prime factors of 3096 are 2, 3, 43. Prime factorization of 3096 in exponential form is:

3096 = 23 × 32 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 3081 and 3096.

LCM(3081,3096) = 32 × 131 × 791 × 23 × 431
LCM(3081,3096) = 3179592