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What is the Least Common Multiple of 28575 and 28595?

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 28575 and 28595 is 163420425.

LCM(28575,28595) = 163420425

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Least Common Multiple of 28575 and 28595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28575 and 28595, than apply into the LCM equation.

GCF(28575,28595) = 5
LCM(28575,28595) = ( 28575 × 28595) / 5
LCM(28575,28595) = 817102125 / 5
LCM(28575,28595) = 163420425

Least Common Multiple (LCM) of 28575 and 28595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28575 and 28595. First we will calculate the prime factors of 28575 and 28595.

Prime Factorization of 28575

Prime factors of 28575 are 3, 5, 127. Prime factorization of 28575 in exponential form is:

28575 = 32 × 52 × 1271

Prime Factorization of 28595

Prime factors of 28595 are 5, 7, 19, 43. Prime factorization of 28595 in exponential form is:

28595 = 51 × 71 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 28575 and 28595.

LCM(28575,28595) = 32 × 52 × 1271 × 71 × 191 × 431
LCM(28575,28595) = 163420425