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What is the Least Common Multiple of 12092 and 12112?

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 12112 is 36614576.

LCM(12092,12112) = 36614576

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Least Common Multiple of 12092 and 12112 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 12112, than apply into the LCM equation.

GCF(12092,12112) = 4
LCM(12092,12112) = ( 12092 × 12112) / 4
LCM(12092,12112) = 146458304 / 4
LCM(12092,12112) = 36614576

Least Common Multiple (LCM) of 12092 and 12112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12092 and 12112. First we will calculate the prime factors of 12092 and 12112.

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 12112

Prime factors of 12112 are 2, 757. Prime factorization of 12112 in exponential form is:

12112 = 24 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 12092 and 12112.

LCM(12092,12112) = 24 × 30231 × 7571
LCM(12092,12112) = 36614576