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What is the Least Common Multiple of 3066 and 3081?

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 3066 and 3081 is 3148782.

LCM(3066,3081) = 3148782

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Least Common Multiple of 3066 and 3081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3066 and 3081, than apply into the LCM equation.

GCF(3066,3081) = 3
LCM(3066,3081) = ( 3066 × 3081) / 3
LCM(3066,3081) = 9446346 / 3
LCM(3066,3081) = 3148782

Least Common Multiple (LCM) of 3066 and 3081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3066 and 3081. First we will calculate the prime factors of 3066 and 3081.

Prime Factorization of 3066

Prime factors of 3066 are 2, 3, 7, 73. Prime factorization of 3066 in exponential form is:

3066 = 21 × 31 × 71 × 731

Prime Factorization of 3081

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

3081 = 31 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 3066 and 3081.

LCM(3066,3081) = 21 × 31 × 71 × 731 × 131 × 791
LCM(3066,3081) = 3148782