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What is the Least Common Multiple of 9104 and 9110?

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 9110 is 41468720.

LCM(9104,9110) = 41468720

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Least Common Multiple of 9104 and 9110 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 9110, than apply into the LCM equation.

GCF(9104,9110) = 2
LCM(9104,9110) = ( 9104 × 9110) / 2
LCM(9104,9110) = 82937440 / 2
LCM(9104,9110) = 41468720

Least Common Multiple (LCM) of 9104 and 9110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9104 and 9110. First we will calculate the prime factors of 9104 and 9110.

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 9110

Prime factors of 9110 are 2, 5, 911. Prime factorization of 9110 in exponential form is:

9110 = 21 × 51 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 9104 and 9110.

LCM(9104,9110) = 24 × 5691 × 51 × 9111
LCM(9104,9110) = 41468720