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What is the Least Common Multiple of 12081 and 12096?

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 12081 and 12096 is 48710592.

LCM(12081,12096) = 48710592

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Least Common Multiple of 12081 and 12096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12081 and 12096, than apply into the LCM equation.

GCF(12081,12096) = 3
LCM(12081,12096) = ( 12081 × 12096) / 3
LCM(12081,12096) = 146131776 / 3
LCM(12081,12096) = 48710592

Least Common Multiple (LCM) of 12081 and 12096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12081 and 12096. First we will calculate the prime factors of 12081 and 12096.

Prime Factorization of 12081

Prime factors of 12081 are 3, 4027. Prime factorization of 12081 in exponential form is:

12081 = 31 × 40271

Prime Factorization of 12096

Prime factors of 12096 are 2, 3, 7. Prime factorization of 12096 in exponential form is:

12096 = 26 × 33 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 12081 and 12096.

LCM(12081,12096) = 33 × 40271 × 26 × 71
LCM(12081,12096) = 48710592