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What is the Least Common Multiple of 9141 and 9161?

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 9141 and 9161 is 83740701.

LCM(9141,9161) = 83740701

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Least Common Multiple of 9141 and 9161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9141 and 9161, than apply into the LCM equation.

GCF(9141,9161) = 1
LCM(9141,9161) = ( 9141 × 9161) / 1
LCM(9141,9161) = 83740701 / 1
LCM(9141,9161) = 83740701

Least Common Multiple (LCM) of 9141 and 9161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9141 and 9161. First we will calculate the prime factors of 9141 and 9161.

Prime Factorization of 9141

Prime factors of 9141 are 3, 11, 277. Prime factorization of 9141 in exponential form is:

9141 = 31 × 111 × 2771

Prime Factorization of 9161

Prime factors of 9161 are 9161. Prime factorization of 9161 in exponential form is:

9161 = 91611

Now multiplying the highest exponent prime factors to calculate the LCM of 9141 and 9161.

LCM(9141,9161) = 31 × 111 × 2771 × 91611
LCM(9141,9161) = 83740701