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What is the Least Common Multiple of 23204 and 23215?

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 23204 and 23215 is 538680860.

LCM(23204,23215) = 538680860

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Least Common Multiple of 23204 and 23215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23204 and 23215, than apply into the LCM equation.

GCF(23204,23215) = 1
LCM(23204,23215) = ( 23204 × 23215) / 1
LCM(23204,23215) = 538680860 / 1
LCM(23204,23215) = 538680860

Least Common Multiple (LCM) of 23204 and 23215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23204 and 23215. First we will calculate the prime factors of 23204 and 23215.

Prime Factorization of 23204

Prime factors of 23204 are 2, 5801. Prime factorization of 23204 in exponential form is:

23204 = 22 × 58011

Prime Factorization of 23215

Prime factors of 23215 are 5, 4643. Prime factorization of 23215 in exponential form is:

23215 = 51 × 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 23204 and 23215.

LCM(23204,23215) = 22 × 58011 × 51 × 46431
LCM(23204,23215) = 538680860