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What is the Least Common Multiple of 9163 and 9177?

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 9163 and 9177 is 12012693.

LCM(9163,9177) = 12012693

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Least Common Multiple of 9163 and 9177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9163 and 9177, than apply into the LCM equation.

GCF(9163,9177) = 7
LCM(9163,9177) = ( 9163 × 9177) / 7
LCM(9163,9177) = 84088851 / 7
LCM(9163,9177) = 12012693

Least Common Multiple (LCM) of 9163 and 9177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9163 and 9177. First we will calculate the prime factors of 9163 and 9177.

Prime Factorization of 9163

Prime factors of 9163 are 7, 11, 17. Prime factorization of 9163 in exponential form is:

9163 = 72 × 111 × 171

Prime Factorization of 9177

Prime factors of 9177 are 3, 7, 19, 23. Prime factorization of 9177 in exponential form is:

9177 = 31 × 71 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 9163 and 9177.

LCM(9163,9177) = 72 × 111 × 171 × 31 × 191 × 231
LCM(9163,9177) = 12012693