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What is the Least Common Multiple of 99155 and 99163?

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 99155 and 99163 is 9832507265.

LCM(99155,99163) = 9832507265

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Least Common Multiple of 99155 and 99163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99155 and 99163, than apply into the LCM equation.

GCF(99155,99163) = 1
LCM(99155,99163) = ( 99155 × 99163) / 1
LCM(99155,99163) = 9832507265 / 1
LCM(99155,99163) = 9832507265

Least Common Multiple (LCM) of 99155 and 99163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99155 and 99163. First we will calculate the prime factors of 99155 and 99163.

Prime Factorization of 99155

Prime factors of 99155 are 5, 7, 2833. Prime factorization of 99155 in exponential form is:

99155 = 51 × 71 × 28331

Prime Factorization of 99163

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

99163 = 531 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 99155 and 99163.

LCM(99155,99163) = 51 × 71 × 28331 × 531 × 18711
LCM(99155,99163) = 9832507265