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What is the Least Common Multiple of 9069 and 9084?

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 9069 and 9084 is 27460932.

LCM(9069,9084) = 27460932

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Least Common Multiple of 9069 and 9084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9069 and 9084, than apply into the LCM equation.

GCF(9069,9084) = 3
LCM(9069,9084) = ( 9069 × 9084) / 3
LCM(9069,9084) = 82382796 / 3
LCM(9069,9084) = 27460932

Least Common Multiple (LCM) of 9069 and 9084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9069 and 9084. First we will calculate the prime factors of 9069 and 9084.

Prime Factorization of 9069

Prime factors of 9069 are 3, 3023. Prime factorization of 9069 in exponential form is:

9069 = 31 × 30231

Prime Factorization of 9084

Prime factors of 9084 are 2, 3, 757. Prime factorization of 9084 in exponential form is:

9084 = 22 × 31 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 9069 and 9084.

LCM(9069,9084) = 31 × 30231 × 22 × 7571
LCM(9069,9084) = 27460932