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What is the Least Common Multiple of 12089 and 12108?

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 12089 and 12108 is 146373612.

LCM(12089,12108) = 146373612

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Least Common Multiple of 12089 and 12108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12089 and 12108, than apply into the LCM equation.

GCF(12089,12108) = 1
LCM(12089,12108) = ( 12089 × 12108) / 1
LCM(12089,12108) = 146373612 / 1
LCM(12089,12108) = 146373612

Least Common Multiple (LCM) of 12089 and 12108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12089 and 12108. First we will calculate the prime factors of 12089 and 12108.

Prime Factorization of 12089

Prime factors of 12089 are 7, 11, 157. Prime factorization of 12089 in exponential form is:

12089 = 71 × 111 × 1571

Prime Factorization of 12108

Prime factors of 12108 are 2, 3, 1009. Prime factorization of 12108 in exponential form is:

12108 = 22 × 31 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 12089 and 12108.

LCM(12089,12108) = 71 × 111 × 1571 × 22 × 31 × 10091
LCM(12089,12108) = 146373612