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What is the Least Common Multiple of 12162 and 12180?

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 12162 and 12180 is 24688860.

LCM(12162,12180) = 24688860

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Least Common Multiple of 12162 and 12180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12162 and 12180, than apply into the LCM equation.

GCF(12162,12180) = 6
LCM(12162,12180) = ( 12162 × 12180) / 6
LCM(12162,12180) = 148133160 / 6
LCM(12162,12180) = 24688860

Least Common Multiple (LCM) of 12162 and 12180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12162 and 12180. First we will calculate the prime factors of 12162 and 12180.

Prime Factorization of 12162

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

12162 = 21 × 31 × 20271

Prime Factorization of 12180

Prime factors of 12180 are 2, 3, 5, 7, 29. Prime factorization of 12180 in exponential form is:

12180 = 22 × 31 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 12162 and 12180.

LCM(12162,12180) = 22 × 31 × 20271 × 51 × 71 × 291
LCM(12162,12180) = 24688860