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What is the Least Common Multiple of 99273 and 99292?

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 99273 and 99292 is 9857014716.

LCM(99273,99292) = 9857014716

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Least Common Multiple of 99273 and 99292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99273 and 99292, than apply into the LCM equation.

GCF(99273,99292) = 1
LCM(99273,99292) = ( 99273 × 99292) / 1
LCM(99273,99292) = 9857014716 / 1
LCM(99273,99292) = 9857014716

Least Common Multiple (LCM) of 99273 and 99292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99273 and 99292. First we will calculate the prime factors of 99273 and 99292.

Prime Factorization of 99273

Prime factors of 99273 are 3, 33091. Prime factorization of 99273 in exponential form is:

99273 = 31 × 330911

Prime Factorization of 99292

Prime factors of 99292 are 2, 103, 241. Prime factorization of 99292 in exponential form is:

99292 = 22 × 1031 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 99273 and 99292.

LCM(99273,99292) = 31 × 330911 × 22 × 1031 × 2411
LCM(99273,99292) = 9857014716