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What is the Least Common Multiple of 12012 and 12018?

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 12012 and 12018 is 24060036.

LCM(12012,12018) = 24060036

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Least Common Multiple of 12012 and 12018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12012 and 12018, than apply into the LCM equation.

GCF(12012,12018) = 6
LCM(12012,12018) = ( 12012 × 12018) / 6
LCM(12012,12018) = 144360216 / 6
LCM(12012,12018) = 24060036

Least Common Multiple (LCM) of 12012 and 12018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12012 and 12018. First we will calculate the prime factors of 12012 and 12018.

Prime Factorization of 12012

Prime factors of 12012 are 2, 3, 7, 11, 13. Prime factorization of 12012 in exponential form is:

12012 = 22 × 31 × 71 × 111 × 131

Prime Factorization of 12018

Prime factors of 12018 are 2, 3, 2003. Prime factorization of 12018 in exponential form is:

12018 = 21 × 31 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 12012 and 12018.

LCM(12012,12018) = 22 × 31 × 71 × 111 × 131 × 20031
LCM(12012,12018) = 24060036