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What is the Least Common Multiple of 28299 and 28313?

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 28299 and 28313 is 801229587.

LCM(28299,28313) = 801229587

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Least Common Multiple of 28299 and 28313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28299 and 28313, than apply into the LCM equation.

GCF(28299,28313) = 1
LCM(28299,28313) = ( 28299 × 28313) / 1
LCM(28299,28313) = 801229587 / 1
LCM(28299,28313) = 801229587

Least Common Multiple (LCM) of 28299 and 28313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28299 and 28313. First we will calculate the prime factors of 28299 and 28313.

Prime Factorization of 28299

Prime factors of 28299 are 3, 9433. Prime factorization of 28299 in exponential form is:

28299 = 31 × 94331

Prime Factorization of 28313

Prime factors of 28313 are 23, 1231. Prime factorization of 28313 in exponential form is:

28313 = 231 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 28299 and 28313.

LCM(28299,28313) = 31 × 94331 × 231 × 12311
LCM(28299,28313) = 801229587