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What is the Least Common Multiple of 12031 and 12042?

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 12031 and 12042 is 144877302.

LCM(12031,12042) = 144877302

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Least Common Multiple of 12031 and 12042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12031 and 12042, than apply into the LCM equation.

GCF(12031,12042) = 1
LCM(12031,12042) = ( 12031 × 12042) / 1
LCM(12031,12042) = 144877302 / 1
LCM(12031,12042) = 144877302

Least Common Multiple (LCM) of 12031 and 12042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12031 and 12042. First we will calculate the prime factors of 12031 and 12042.

Prime Factorization of 12031

Prime factors of 12031 are 53, 227. Prime factorization of 12031 in exponential form is:

12031 = 531 × 2271

Prime Factorization of 12042

Prime factors of 12042 are 2, 3, 223. Prime factorization of 12042 in exponential form is:

12042 = 21 × 33 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 12031 and 12042.

LCM(12031,12042) = 531 × 2271 × 21 × 33 × 2231
LCM(12031,12042) = 144877302