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What is the Least Common Multiple of 12055 and 12069?

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 12055 and 12069 is 145491795.

LCM(12055,12069) = 145491795

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Least Common Multiple of 12055 and 12069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12055 and 12069, than apply into the LCM equation.

GCF(12055,12069) = 1
LCM(12055,12069) = ( 12055 × 12069) / 1
LCM(12055,12069) = 145491795 / 1
LCM(12055,12069) = 145491795

Least Common Multiple (LCM) of 12055 and 12069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12055 and 12069. First we will calculate the prime factors of 12055 and 12069.

Prime Factorization of 12055

Prime factors of 12055 are 5, 2411. Prime factorization of 12055 in exponential form is:

12055 = 51 × 24111

Prime Factorization of 12069

Prime factors of 12069 are 3, 149. Prime factorization of 12069 in exponential form is:

12069 = 34 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 12055 and 12069.

LCM(12055,12069) = 51 × 24111 × 34 × 1491
LCM(12055,12069) = 145491795