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What is the Least Common Multiple of 12068 and 12086?

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 12068 and 12086 is 72926924.

LCM(12068,12086) = 72926924

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Least Common Multiple of 12068 and 12086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12068 and 12086, than apply into the LCM equation.

GCF(12068,12086) = 2
LCM(12068,12086) = ( 12068 × 12086) / 2
LCM(12068,12086) = 145853848 / 2
LCM(12068,12086) = 72926924

Least Common Multiple (LCM) of 12068 and 12086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12068 and 12086. First we will calculate the prime factors of 12068 and 12086.

Prime Factorization of 12068

Prime factors of 12068 are 2, 7, 431. Prime factorization of 12068 in exponential form is:

12068 = 22 × 71 × 4311

Prime Factorization of 12086

Prime factors of 12086 are 2, 6043. Prime factorization of 12086 in exponential form is:

12086 = 21 × 60431

Now multiplying the highest exponent prime factors to calculate the LCM of 12068 and 12086.

LCM(12068,12086) = 22 × 71 × 4311 × 60431
LCM(12068,12086) = 72926924