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What is the Least Common Multiple of 12084 and 12094?

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 12084 and 12094 is 73071948.

LCM(12084,12094) = 73071948

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Least Common Multiple of 12084 and 12094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12084 and 12094, than apply into the LCM equation.

GCF(12084,12094) = 2
LCM(12084,12094) = ( 12084 × 12094) / 2
LCM(12084,12094) = 146143896 / 2
LCM(12084,12094) = 73071948

Least Common Multiple (LCM) of 12084 and 12094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12084 and 12094. First we will calculate the prime factors of 12084 and 12094.

Prime Factorization of 12084

Prime factors of 12084 are 2, 3, 19, 53. Prime factorization of 12084 in exponential form is:

12084 = 22 × 31 × 191 × 531

Prime Factorization of 12094

Prime factors of 12094 are 2, 6047. Prime factorization of 12094 in exponential form is:

12094 = 21 × 60471

Now multiplying the highest exponent prime factors to calculate the LCM of 12084 and 12094.

LCM(12084,12094) = 22 × 31 × 191 × 531 × 60471
LCM(12084,12094) = 73071948