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What is the Least Common Multiple of 12018 and 12036?

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 12018 and 12036 is 24108108.

LCM(12018,12036) = 24108108

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Least Common Multiple of 12018 and 12036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12018 and 12036, than apply into the LCM equation.

GCF(12018,12036) = 6
LCM(12018,12036) = ( 12018 × 12036) / 6
LCM(12018,12036) = 144648648 / 6
LCM(12018,12036) = 24108108

Least Common Multiple (LCM) of 12018 and 12036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12018 and 12036. First we will calculate the prime factors of 12018 and 12036.

Prime Factorization of 12018

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

12018 = 21 × 31 × 20031

Prime Factorization of 12036

Prime factors of 12036 are 2, 3, 17, 59. Prime factorization of 12036 in exponential form is:

12036 = 22 × 31 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 12018 and 12036.

LCM(12018,12036) = 22 × 31 × 20031 × 171 × 591
LCM(12018,12036) = 24108108