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What is the Least Common Multiple of 23339 and 23357?

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 23339 and 23357 is 545129023.

LCM(23339,23357) = 545129023

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Least Common Multiple of 23339 and 23357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23339 and 23357, than apply into the LCM equation.

GCF(23339,23357) = 1
LCM(23339,23357) = ( 23339 × 23357) / 1
LCM(23339,23357) = 545129023 / 1
LCM(23339,23357) = 545129023

Least Common Multiple (LCM) of 23339 and 23357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23339 and 23357. First we will calculate the prime factors of 23339 and 23357.

Prime Factorization of 23339

Prime factors of 23339 are 23339. Prime factorization of 23339 in exponential form is:

23339 = 233391

Prime Factorization of 23357

Prime factors of 23357 are 23357. Prime factorization of 23357 in exponential form is:

23357 = 233571

Now multiplying the highest exponent prime factors to calculate the LCM of 23339 and 23357.

LCM(23339,23357) = 233391 × 233571
LCM(23339,23357) = 545129023