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What is the Least Common Multiple of 12066 and 12078?

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 12066 and 12078 is 24288858.

LCM(12066,12078) = 24288858

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Least Common Multiple of 12066 and 12078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12066 and 12078, than apply into the LCM equation.

GCF(12066,12078) = 6
LCM(12066,12078) = ( 12066 × 12078) / 6
LCM(12066,12078) = 145733148 / 6
LCM(12066,12078) = 24288858

Least Common Multiple (LCM) of 12066 and 12078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12066 and 12078. First we will calculate the prime factors of 12066 and 12078.

Prime Factorization of 12066

Prime factors of 12066 are 2, 3, 2011. Prime factorization of 12066 in exponential form is:

12066 = 21 × 31 × 20111

Prime Factorization of 12078

Prime factors of 12078 are 2, 3, 11, 61. Prime factorization of 12078 in exponential form is:

12078 = 21 × 32 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 12066 and 12078.

LCM(12066,12078) = 21 × 32 × 20111 × 111 × 611
LCM(12066,12078) = 24288858