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What is the Least Common Multiple of 12124 and 12133?

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 12124 and 12133 is 147100492.

LCM(12124,12133) = 147100492

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Least Common Multiple of 12124 and 12133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12124 and 12133, than apply into the LCM equation.

GCF(12124,12133) = 1
LCM(12124,12133) = ( 12124 × 12133) / 1
LCM(12124,12133) = 147100492 / 1
LCM(12124,12133) = 147100492

Least Common Multiple (LCM) of 12124 and 12133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12124 and 12133. First we will calculate the prime factors of 12124 and 12133.

Prime Factorization of 12124

Prime factors of 12124 are 2, 7, 433. Prime factorization of 12124 in exponential form is:

12124 = 22 × 71 × 4331

Prime Factorization of 12133

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

12133 = 111 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 12124 and 12133.

LCM(12124,12133) = 22 × 71 × 4331 × 111 × 11031
LCM(12124,12133) = 147100492