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What is the Least Common Multiple of 99063 and 99067?

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 99063 and 99067 is 9813874221.

LCM(99063,99067) = 9813874221

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Least Common Multiple of 99063 and 99067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99063 and 99067, than apply into the LCM equation.

GCF(99063,99067) = 1
LCM(99063,99067) = ( 99063 × 99067) / 1
LCM(99063,99067) = 9813874221 / 1
LCM(99063,99067) = 9813874221

Least Common Multiple (LCM) of 99063 and 99067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99063 and 99067. First we will calculate the prime factors of 99063 and 99067.

Prime Factorization of 99063

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

99063 = 34 × 12231

Prime Factorization of 99067

Prime factors of 99067 are 157, 631. Prime factorization of 99067 in exponential form is:

99067 = 1571 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 99063 and 99067.

LCM(99063,99067) = 34 × 12231 × 1571 × 6311
LCM(99063,99067) = 9813874221