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What is the Least Common Multiple of 12083 and 12090?

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 12083 and 12090 is 146083470.

LCM(12083,12090) = 146083470

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Least Common Multiple of 12083 and 12090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12083 and 12090, than apply into the LCM equation.

GCF(12083,12090) = 1
LCM(12083,12090) = ( 12083 × 12090) / 1
LCM(12083,12090) = 146083470 / 1
LCM(12083,12090) = 146083470

Least Common Multiple (LCM) of 12083 and 12090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12083 and 12090. First we will calculate the prime factors of 12083 and 12090.

Prime Factorization of 12083

Prime factors of 12083 are 43, 281. Prime factorization of 12083 in exponential form is:

12083 = 431 × 2811

Prime Factorization of 12090

Prime factors of 12090 are 2, 3, 5, 13, 31. Prime factorization of 12090 in exponential form is:

12090 = 21 × 31 × 51 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 12083 and 12090.

LCM(12083,12090) = 431 × 2811 × 21 × 31 × 51 × 131 × 311
LCM(12083,12090) = 146083470