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What is the Least Common Multiple of 28575 and 28583?

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 28583 is 816759225.

LCM(28575,28583) = 816759225

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Least Common Multiple of 28575 and 28583 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 28583, than apply into the LCM equation.

GCF(28575,28583) = 1
LCM(28575,28583) = ( 28575 × 28583) / 1
LCM(28575,28583) = 816759225 / 1
LCM(28575,28583) = 816759225

Least Common Multiple (LCM) of 28575 and 28583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28575 and 28583. First we will calculate the prime factors of 28575 and 28583.

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 28583

Prime factors of 28583 are 101, 283. Prime factorization of 28583 in exponential form is:

28583 = 1011 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 28575 and 28583.

LCM(28575,28583) = 32 × 52 × 1271 × 1011 × 2831
LCM(28575,28583) = 816759225