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What is the Least Common Multiple of 12066 and 12073?

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 12073 is 145672818.

LCM(12066,12073) = 145672818

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Least Common Multiple of 12066 and 12073 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 12073, than apply into the LCM equation.

GCF(12066,12073) = 1
LCM(12066,12073) = ( 12066 × 12073) / 1
LCM(12066,12073) = 145672818 / 1
LCM(12066,12073) = 145672818

Least Common Multiple (LCM) of 12066 and 12073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12066 and 12073. First we will calculate the prime factors of 12066 and 12073.

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 12073

Prime factors of 12073 are 12073. Prime factorization of 12073 in exponential form is:

12073 = 120731

Now multiplying the highest exponent prime factors to calculate the LCM of 12066 and 12073.

LCM(12066,12073) = 21 × 31 × 20111 × 120731
LCM(12066,12073) = 145672818