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What is the Least Common Multiple of 12014 and 12034?

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 12014 and 12034 is 72288238.

LCM(12014,12034) = 72288238

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Least Common Multiple of 12014 and 12034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12014 and 12034, than apply into the LCM equation.

GCF(12014,12034) = 2
LCM(12014,12034) = ( 12014 × 12034) / 2
LCM(12014,12034) = 144576476 / 2
LCM(12014,12034) = 72288238

Least Common Multiple (LCM) of 12014 and 12034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12014 and 12034. First we will calculate the prime factors of 12014 and 12034.

Prime Factorization of 12014

Prime factors of 12014 are 2, 6007. Prime factorization of 12014 in exponential form is:

12014 = 21 × 60071

Prime Factorization of 12034

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

12034 = 21 × 111 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 12014 and 12034.

LCM(12014,12034) = 21 × 60071 × 111 × 5471
LCM(12014,12034) = 72288238