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What is the Least Common Multiple of 9066 and 9086?

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 9066 and 9086 is 41186838.

LCM(9066,9086) = 41186838

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Least Common Multiple of 9066 and 9086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9066 and 9086, than apply into the LCM equation.

GCF(9066,9086) = 2
LCM(9066,9086) = ( 9066 × 9086) / 2
LCM(9066,9086) = 82373676 / 2
LCM(9066,9086) = 41186838

Least Common Multiple (LCM) of 9066 and 9086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9066 and 9086. First we will calculate the prime factors of 9066 and 9086.

Prime Factorization of 9066

Prime factors of 9066 are 2, 3, 1511. Prime factorization of 9066 in exponential form is:

9066 = 21 × 31 × 15111

Prime Factorization of 9086

Prime factors of 9086 are 2, 7, 11, 59. Prime factorization of 9086 in exponential form is:

9086 = 21 × 71 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 9066 and 9086.

LCM(9066,9086) = 21 × 31 × 15111 × 71 × 111 × 591
LCM(9066,9086) = 41186838