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What is the Least Common Multiple of 28549 and 28567?

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 28549 and 28567 is 815559283.

LCM(28549,28567) = 815559283

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Least Common Multiple of 28549 and 28567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28549 and 28567, than apply into the LCM equation.

GCF(28549,28567) = 1
LCM(28549,28567) = ( 28549 × 28567) / 1
LCM(28549,28567) = 815559283 / 1
LCM(28549,28567) = 815559283

Least Common Multiple (LCM) of 28549 and 28567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28549 and 28567. First we will calculate the prime factors of 28549 and 28567.

Prime Factorization of 28549

Prime factors of 28549 are 28549. Prime factorization of 28549 in exponential form is:

28549 = 285491

Prime Factorization of 28567

Prime factors of 28567 are 7, 11, 53. Prime factorization of 28567 in exponential form is:

28567 = 72 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 28549 and 28567.

LCM(28549,28567) = 285491 × 72 × 111 × 531
LCM(28549,28567) = 815559283