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What is the Least Common Multiple of 8225 and 8243?

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 8225 and 8243 is 67798675.

LCM(8225,8243) = 67798675

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Least Common Multiple of 8225 and 8243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8225 and 8243, than apply into the LCM equation.

GCF(8225,8243) = 1
LCM(8225,8243) = ( 8225 × 8243) / 1
LCM(8225,8243) = 67798675 / 1
LCM(8225,8243) = 67798675

Least Common Multiple (LCM) of 8225 and 8243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8225 and 8243. First we will calculate the prime factors of 8225 and 8243.

Prime Factorization of 8225

Prime factors of 8225 are 5, 7, 47. Prime factorization of 8225 in exponential form is:

8225 = 52 × 71 × 471

Prime Factorization of 8243

Prime factors of 8243 are 8243. Prime factorization of 8243 in exponential form is:

8243 = 82431

Now multiplying the highest exponent prime factors to calculate the LCM of 8225 and 8243.

LCM(8225,8243) = 52 × 71 × 471 × 82431
LCM(8225,8243) = 67798675