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What is the Least Common Multiple of 99273 and 99279?

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 99279 is 3285241389.

LCM(99273,99279) = 3285241389

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Least Common Multiple of 99273 and 99279 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 99279, than apply into the LCM equation.

GCF(99273,99279) = 3
LCM(99273,99279) = ( 99273 × 99279) / 3
LCM(99273,99279) = 9855724167 / 3
LCM(99273,99279) = 3285241389

Least Common Multiple (LCM) of 99273 and 99279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99273 and 99279. First we will calculate the prime factors of 99273 and 99279.

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 99279

Prime factors of 99279 are 3, 3677. Prime factorization of 99279 in exponential form is:

99279 = 33 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 99273 and 99279.

LCM(99273,99279) = 33 × 330911 × 36771
LCM(99273,99279) = 3285241389