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What is the Least Common Multiple of 99163 and 99183?

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 99183 is 9835283829.

LCM(99163,99183) = 9835283829

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Least Common Multiple of 99163 and 99183 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 99183, than apply into the LCM equation.

GCF(99163,99183) = 1
LCM(99163,99183) = ( 99163 × 99183) / 1
LCM(99163,99183) = 9835283829 / 1
LCM(99163,99183) = 9835283829

Least Common Multiple (LCM) of 99163 and 99183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99163 and 99183. First we will calculate the prime factors of 99163 and 99183.

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 99183

Prime factors of 99183 are 3, 7, 4723. Prime factorization of 99183 in exponential form is:

99183 = 31 × 71 × 47231

Now multiplying the highest exponent prime factors to calculate the LCM of 99163 and 99183.

LCM(99163,99183) = 531 × 18711 × 31 × 71 × 47231
LCM(99163,99183) = 9835283829