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What is the Least Common Multiple of 99163 and 99180?

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 99163 and 99180 is 9834986340.

LCM(99163,99180) = 9834986340

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Least Common Multiple of 99163 and 99180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99163 and 99180, than apply into the LCM equation.

GCF(99163,99180) = 1
LCM(99163,99180) = ( 99163 × 99180) / 1
LCM(99163,99180) = 9834986340 / 1
LCM(99163,99180) = 9834986340

Least Common Multiple (LCM) of 99163 and 99180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99163 and 99180. First we will calculate the prime factors of 99163 and 99180.

Prime Factorization of 99163

Prime factors of 99163 are 53, 1871. Prime factorization of 99163 in exponential form is:

99163 = 531 × 18711

Prime Factorization of 99180

Prime factors of 99180 are 2, 3, 5, 19, 29. Prime factorization of 99180 in exponential form is:

99180 = 22 × 32 × 51 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 99163 and 99180.

LCM(99163,99180) = 531 × 18711 × 22 × 32 × 51 × 191 × 291
LCM(99163,99180) = 9834986340