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What is the Least Common Multiple of 12018 and 12033?

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 12033 is 48204198.

LCM(12018,12033) = 48204198

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Least Common Multiple of 12018 and 12033 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 12033, than apply into the LCM equation.

GCF(12018,12033) = 3
LCM(12018,12033) = ( 12018 × 12033) / 3
LCM(12018,12033) = 144612594 / 3
LCM(12018,12033) = 48204198

Least Common Multiple (LCM) of 12018 and 12033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12018 and 12033. First we will calculate the prime factors of 12018 and 12033.

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 12033

Prime factors of 12033 are 3, 7, 191. Prime factorization of 12033 in exponential form is:

12033 = 32 × 71 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 12018 and 12033.

LCM(12018,12033) = 21 × 32 × 20031 × 71 × 1911
LCM(12018,12033) = 48204198