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What is the Least Common Multiple of 3039 and 3054?

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 3039 and 3054 is 3093702.

LCM(3039,3054) = 3093702

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Least Common Multiple of 3039 and 3054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3039 and 3054, than apply into the LCM equation.

GCF(3039,3054) = 3
LCM(3039,3054) = ( 3039 × 3054) / 3
LCM(3039,3054) = 9281106 / 3
LCM(3039,3054) = 3093702

Least Common Multiple (LCM) of 3039 and 3054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3039 and 3054. First we will calculate the prime factors of 3039 and 3054.

Prime Factorization of 3039

Prime factors of 3039 are 3, 1013. Prime factorization of 3039 in exponential form is:

3039 = 31 × 10131

Prime Factorization of 3054

Prime factors of 3054 are 2, 3, 509. Prime factorization of 3054 in exponential form is:

3054 = 21 × 31 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 3039 and 3054.

LCM(3039,3054) = 31 × 10131 × 21 × 5091
LCM(3039,3054) = 3093702