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What is the Least Common Multiple of 12023 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 12023 and 12033 is 144672759.

LCM(12023,12033) = 144672759

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Least Common Multiple of 12023 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 12023 and 12033, than apply into the LCM equation.

GCF(12023,12033) = 1
LCM(12023,12033) = ( 12023 × 12033) / 1
LCM(12023,12033) = 144672759 / 1
LCM(12023,12033) = 144672759

Least Common Multiple (LCM) of 12023 and 12033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12023 and 12033. First we will calculate the prime factors of 12023 and 12033.

Prime Factorization of 12023

Prime factors of 12023 are 11, 1093. Prime factorization of 12023 in exponential form is:

12023 = 111 × 10931

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 12023 and 12033.

LCM(12023,12033) = 111 × 10931 × 32 × 71 × 1911
LCM(12023,12033) = 144672759