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What is the Least Common Multiple of 28523 and 28531?

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 28523 and 28531 is 813789713.

LCM(28523,28531) = 813789713

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Least Common Multiple of 28523 and 28531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28523 and 28531, than apply into the LCM equation.

GCF(28523,28531) = 1
LCM(28523,28531) = ( 28523 × 28531) / 1
LCM(28523,28531) = 813789713 / 1
LCM(28523,28531) = 813789713

Least Common Multiple (LCM) of 28523 and 28531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28523 and 28531. First we will calculate the prime factors of 28523 and 28531.

Prime Factorization of 28523

Prime factors of 28523 are 11, 2593. Prime factorization of 28523 in exponential form is:

28523 = 111 × 25931

Prime Factorization of 28531

Prime factors of 28531 are 103, 277. Prime factorization of 28531 in exponential form is:

28531 = 1031 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 28523 and 28531.

LCM(28523,28531) = 111 × 25931 × 1031 × 2771
LCM(28523,28531) = 813789713