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
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
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