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What is the Least Common Multiple of 12133 and 12142?

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 12133 and 12142 is 147318886.

LCM(12133,12142) = 147318886

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Least Common Multiple of 12133 and 12142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12133 and 12142, than apply into the LCM equation.

GCF(12133,12142) = 1
LCM(12133,12142) = ( 12133 × 12142) / 1
LCM(12133,12142) = 147318886 / 1
LCM(12133,12142) = 147318886

Least Common Multiple (LCM) of 12133 and 12142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12133 and 12142. First we will calculate the prime factors of 12133 and 12142.

Prime Factorization of 12133

Prime factors of 12133 are 11, 1103. Prime factorization of 12133 in exponential form is:

12133 = 111 × 11031

Prime Factorization of 12142

Prime factors of 12142 are 2, 13, 467. Prime factorization of 12142 in exponential form is:

12142 = 21 × 131 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 12133 and 12142.

LCM(12133,12142) = 111 × 11031 × 21 × 131 × 4671
LCM(12133,12142) = 147318886