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What is the Least Common Multiple of 28575 and 28585?

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 28585 is 163363275.

LCM(28575,28585) = 163363275

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Least Common Multiple of 28575 and 28585 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 28585, than apply into the LCM equation.

GCF(28575,28585) = 5
LCM(28575,28585) = ( 28575 × 28585) / 5
LCM(28575,28585) = 816816375 / 5
LCM(28575,28585) = 163363275

Least Common Multiple (LCM) of 28575 and 28585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28575 and 28585. First we will calculate the prime factors of 28575 and 28585.

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 28585

Prime factors of 28585 are 5, 5717. Prime factorization of 28585 in exponential form is:

28585 = 51 × 57171

Now multiplying the highest exponent prime factors to calculate the LCM of 28575 and 28585.

LCM(28575,28585) = 32 × 52 × 1271 × 57171
LCM(28575,28585) = 163363275