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What is the Least Common Multiple of 28273 and 28281?

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 28273 and 28281 is 799588713.

LCM(28273,28281) = 799588713

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Least Common Multiple of 28273 and 28281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28273 and 28281, than apply into the LCM equation.

GCF(28273,28281) = 1
LCM(28273,28281) = ( 28273 × 28281) / 1
LCM(28273,28281) = 799588713 / 1
LCM(28273,28281) = 799588713

Least Common Multiple (LCM) of 28273 and 28281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28273 and 28281. First we will calculate the prime factors of 28273 and 28281.

Prime Factorization of 28273

Prime factors of 28273 are 7, 577. Prime factorization of 28273 in exponential form is:

28273 = 72 × 5771

Prime Factorization of 28281

Prime factors of 28281 are 3, 11, 857. Prime factorization of 28281 in exponential form is:

28281 = 31 × 111 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 28273 and 28281.

LCM(28273,28281) = 72 × 5771 × 31 × 111 × 8571
LCM(28273,28281) = 799588713