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What is the Least Common Multiple of 99059 and 99063?

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 99059 and 99063 is 9813081717.

LCM(99059,99063) = 9813081717

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Least Common Multiple of 99059 and 99063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99059 and 99063, than apply into the LCM equation.

GCF(99059,99063) = 1
LCM(99059,99063) = ( 99059 × 99063) / 1
LCM(99059,99063) = 9813081717 / 1
LCM(99059,99063) = 9813081717

Least Common Multiple (LCM) of 99059 and 99063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99059 and 99063. First we will calculate the prime factors of 99059 and 99063.

Prime Factorization of 99059

Prime factors of 99059 are 17, 5827. Prime factorization of 99059 in exponential form is:

99059 = 171 × 58271

Prime Factorization of 99063

Prime factors of 99063 are 3, 1223. Prime factorization of 99063 in exponential form is:

99063 = 34 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 99059 and 99063.

LCM(99059,99063) = 171 × 58271 × 34 × 12231
LCM(99059,99063) = 9813081717