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What is the Least Common Multiple of 4066 and 4086?

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 4066 and 4086 is 8306838.

LCM(4066,4086) = 8306838

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Least Common Multiple of 4066 and 4086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4066 and 4086, than apply into the LCM equation.

GCF(4066,4086) = 2
LCM(4066,4086) = ( 4066 × 4086) / 2
LCM(4066,4086) = 16613676 / 2
LCM(4066,4086) = 8306838

Least Common Multiple (LCM) of 4066 and 4086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4066 and 4086. First we will calculate the prime factors of 4066 and 4086.

Prime Factorization of 4066

Prime factors of 4066 are 2, 19, 107. Prime factorization of 4066 in exponential form is:

4066 = 21 × 191 × 1071

Prime Factorization of 4086

Prime factors of 4086 are 2, 3, 227. Prime factorization of 4086 in exponential form is:

4086 = 21 × 32 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 4066 and 4086.

LCM(4066,4086) = 21 × 191 × 1071 × 32 × 2271
LCM(4066,4086) = 8306838