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What is the Least Common Multiple of 9104 and 9114?

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 9104 and 9114 is 41486928.

LCM(9104,9114) = 41486928

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Least Common Multiple of 9104 and 9114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9104 and 9114, than apply into the LCM equation.

GCF(9104,9114) = 2
LCM(9104,9114) = ( 9104 × 9114) / 2
LCM(9104,9114) = 82973856 / 2
LCM(9104,9114) = 41486928

Least Common Multiple (LCM) of 9104 and 9114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9104 and 9114. First we will calculate the prime factors of 9104 and 9114.

Prime Factorization of 9104

Prime factors of 9104 are 2, 569. Prime factorization of 9104 in exponential form is:

9104 = 24 × 5691

Prime Factorization of 9114

Prime factors of 9114 are 2, 3, 7, 31. Prime factorization of 9114 in exponential form is:

9114 = 21 × 31 × 72 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 9104 and 9114.

LCM(9104,9114) = 24 × 5691 × 31 × 72 × 311
LCM(9104,9114) = 41486928