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What is the Least Common Multiple of 12089 and 12105?

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 12105 is 146337345.

LCM(12089,12105) = 146337345

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Least Common Multiple of 12089 and 12105 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 12105, than apply into the LCM equation.

GCF(12089,12105) = 1
LCM(12089,12105) = ( 12089 × 12105) / 1
LCM(12089,12105) = 146337345 / 1
LCM(12089,12105) = 146337345

Least Common Multiple (LCM) of 12089 and 12105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12089 and 12105. First we will calculate the prime factors of 12089 and 12105.

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 12105

Prime factors of 12105 are 3, 5, 269. Prime factorization of 12105 in exponential form is:

12105 = 32 × 51 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 12089 and 12105.

LCM(12089,12105) = 71 × 111 × 1571 × 32 × 51 × 2691
LCM(12089,12105) = 146337345