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What is the Least Common Multiple of 12066 and 12077?

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 12077 is 145721082.

LCM(12066,12077) = 145721082

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Least Common Multiple of 12066 and 12077 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 12077, than apply into the LCM equation.

GCF(12066,12077) = 1
LCM(12066,12077) = ( 12066 × 12077) / 1
LCM(12066,12077) = 145721082 / 1
LCM(12066,12077) = 145721082

Least Common Multiple (LCM) of 12066 and 12077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12066 and 12077. First we will calculate the prime factors of 12066 and 12077.

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 12077

Prime factors of 12077 are 13, 929. Prime factorization of 12077 in exponential form is:

12077 = 131 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 12066 and 12077.

LCM(12066,12077) = 21 × 31 × 20111 × 131 × 9291
LCM(12066,12077) = 145721082