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What is the Least Common Multiple of 12023 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 12023 and 12042 is 144780966.

LCM(12023,12042) = 144780966

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Least Common Multiple of 12023 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 12023 and 12042, than apply into the LCM equation.

GCF(12023,12042) = 1
LCM(12023,12042) = ( 12023 × 12042) / 1
LCM(12023,12042) = 144780966 / 1
LCM(12023,12042) = 144780966

Least Common Multiple (LCM) of 12023 and 12042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12023 and 12042. First we will calculate the prime factors of 12023 and 12042.

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 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 12023 and 12042.

LCM(12023,12042) = 111 × 10931 × 21 × 33 × 2231
LCM(12023,12042) = 144780966