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What is the Least Common Multiple of 9111 and 9129?

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 9111 and 9129 is 27724773.

LCM(9111,9129) = 27724773

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Least Common Multiple of 9111 and 9129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9111 and 9129, than apply into the LCM equation.

GCF(9111,9129) = 3
LCM(9111,9129) = ( 9111 × 9129) / 3
LCM(9111,9129) = 83174319 / 3
LCM(9111,9129) = 27724773

Least Common Multiple (LCM) of 9111 and 9129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9111 and 9129. First we will calculate the prime factors of 9111 and 9129.

Prime Factorization of 9111

Prime factors of 9111 are 3, 3037. Prime factorization of 9111 in exponential form is:

9111 = 31 × 30371

Prime Factorization of 9129

Prime factors of 9129 are 3, 17, 179. Prime factorization of 9129 in exponential form is:

9129 = 31 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9111 and 9129.

LCM(9111,9129) = 31 × 30371 × 171 × 1791
LCM(9111,9129) = 27724773