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What is the Least Common Multiple of 12092 and 12104?

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 12092 and 12104 is 36590392.

LCM(12092,12104) = 36590392

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Least Common Multiple of 12092 and 12104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12092 and 12104, than apply into the LCM equation.

GCF(12092,12104) = 4
LCM(12092,12104) = ( 12092 × 12104) / 4
LCM(12092,12104) = 146361568 / 4
LCM(12092,12104) = 36590392

Least Common Multiple (LCM) of 12092 and 12104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12092 and 12104. First we will calculate the prime factors of 12092 and 12104.

Prime Factorization of 12092

Prime factors of 12092 are 2, 3023. Prime factorization of 12092 in exponential form is:

12092 = 22 × 30231

Prime Factorization of 12104

Prime factors of 12104 are 2, 17, 89. Prime factorization of 12104 in exponential form is:

12104 = 23 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 12092 and 12104.

LCM(12092,12104) = 23 × 30231 × 171 × 891
LCM(12092,12104) = 36590392