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What is the Least Common Multiple of 99166 and 99177?

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 99166 and 99177 is 9834986382.

LCM(99166,99177) = 9834986382

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Least Common Multiple of 99166 and 99177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99166 and 99177, than apply into the LCM equation.

GCF(99166,99177) = 1
LCM(99166,99177) = ( 99166 × 99177) / 1
LCM(99166,99177) = 9834986382 / 1
LCM(99166,99177) = 9834986382

Least Common Multiple (LCM) of 99166 and 99177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99166 and 99177. First we will calculate the prime factors of 99166 and 99177.

Prime Factorization of 99166

Prime factors of 99166 are 2, 179, 277. Prime factorization of 99166 in exponential form is:

99166 = 21 × 1791 × 2771

Prime Factorization of 99177

Prime factors of 99177 are 3, 13, 2543. Prime factorization of 99177 in exponential form is:

99177 = 31 × 131 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 99166 and 99177.

LCM(99166,99177) = 21 × 1791 × 2771 × 31 × 131 × 25431
LCM(99166,99177) = 9834986382