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What is the Least Common Multiple of 12034 and 12039?

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 12034 and 12039 is 144877326.

LCM(12034,12039) = 144877326

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Least Common Multiple of 12034 and 12039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12034 and 12039, than apply into the LCM equation.

GCF(12034,12039) = 1
LCM(12034,12039) = ( 12034 × 12039) / 1
LCM(12034,12039) = 144877326 / 1
LCM(12034,12039) = 144877326

Least Common Multiple (LCM) of 12034 and 12039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12034 and 12039. First we will calculate the prime factors of 12034 and 12039.

Prime Factorization of 12034

Prime factors of 12034 are 2, 11, 547. Prime factorization of 12034 in exponential form is:

12034 = 21 × 111 × 5471

Prime Factorization of 12039

Prime factors of 12039 are 3, 4013. Prime factorization of 12039 in exponential form is:

12039 = 31 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 12034 and 12039.

LCM(12034,12039) = 21 × 111 × 5471 × 31 × 40131
LCM(12034,12039) = 144877326