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What is the Least Common Multiple of 82267 and 82281?

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 82267 and 82281 is 6769011027.

LCM(82267,82281) = 6769011027

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Least Common Multiple of 82267 and 82281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82267 and 82281, than apply into the LCM equation.

GCF(82267,82281) = 1
LCM(82267,82281) = ( 82267 × 82281) / 1
LCM(82267,82281) = 6769011027 / 1
LCM(82267,82281) = 6769011027

Least Common Multiple (LCM) of 82267 and 82281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82267 and 82281. First we will calculate the prime factors of 82267 and 82281.

Prime Factorization of 82267

Prime factors of 82267 are 82267. Prime factorization of 82267 in exponential form is:

82267 = 822671

Prime Factorization of 82281

Prime factors of 82281 are 3, 27427. Prime factorization of 82281 in exponential form is:

82281 = 31 × 274271

Now multiplying the highest exponent prime factors to calculate the LCM of 82267 and 82281.

LCM(82267,82281) = 822671 × 31 × 274271
LCM(82267,82281) = 6769011027