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What is the Least Common Multiple of 12144 and 12162?

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 12144 and 12162 is 24615888.

LCM(12144,12162) = 24615888

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Least Common Multiple of 12144 and 12162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12144 and 12162, than apply into the LCM equation.

GCF(12144,12162) = 6
LCM(12144,12162) = ( 12144 × 12162) / 6
LCM(12144,12162) = 147695328 / 6
LCM(12144,12162) = 24615888

Least Common Multiple (LCM) of 12144 and 12162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12144 and 12162. First we will calculate the prime factors of 12144 and 12162.

Prime Factorization of 12144

Prime factors of 12144 are 2, 3, 11, 23. Prime factorization of 12144 in exponential form is:

12144 = 24 × 31 × 111 × 231

Prime Factorization of 12162

Prime factors of 12162 are 2, 3, 2027. Prime factorization of 12162 in exponential form is:

12162 = 21 × 31 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 12144 and 12162.

LCM(12144,12162) = 24 × 31 × 111 × 231 × 20271
LCM(12144,12162) = 24615888