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What is the Least Common Multiple of 9051 and 9069?

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 9051 and 9069 is 27361173.

LCM(9051,9069) = 27361173

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Least Common Multiple of 9051 and 9069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9051 and 9069, than apply into the LCM equation.

GCF(9051,9069) = 3
LCM(9051,9069) = ( 9051 × 9069) / 3
LCM(9051,9069) = 82083519 / 3
LCM(9051,9069) = 27361173

Least Common Multiple (LCM) of 9051 and 9069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9051 and 9069. First we will calculate the prime factors of 9051 and 9069.

Prime Factorization of 9051

Prime factors of 9051 are 3, 7, 431. Prime factorization of 9051 in exponential form is:

9051 = 31 × 71 × 4311

Prime Factorization of 9069

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

9069 = 31 × 30231

Now multiplying the highest exponent prime factors to calculate the LCM of 9051 and 9069.

LCM(9051,9069) = 31 × 71 × 4311 × 30231
LCM(9051,9069) = 27361173