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What is the Least Common Multiple of 9166 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 9166 and 9177 is 84116382.

LCM(9166,9177) = 84116382

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Least Common Multiple of 9166 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 9166 and 9177, than apply into the LCM equation.

GCF(9166,9177) = 1
LCM(9166,9177) = ( 9166 × 9177) / 1
LCM(9166,9177) = 84116382 / 1
LCM(9166,9177) = 84116382

Least Common Multiple (LCM) of 9166 and 9177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9166 and 9177. First we will calculate the prime factors of 9166 and 9177.

Prime Factorization of 9166

Prime factors of 9166 are 2, 4583. Prime factorization of 9166 in exponential form is:

9166 = 21 × 45831

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 9166 and 9177.

LCM(9166,9177) = 21 × 45831 × 31 × 71 × 191 × 231
LCM(9166,9177) = 84116382