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What is the Least Common Multiple of 8228 and 8245?

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 8228 and 8245 is 3990580.

LCM(8228,8245) = 3990580

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Least Common Multiple of 8228 and 8245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8228 and 8245, than apply into the LCM equation.

GCF(8228,8245) = 17
LCM(8228,8245) = ( 8228 × 8245) / 17
LCM(8228,8245) = 67839860 / 17
LCM(8228,8245) = 3990580

Least Common Multiple (LCM) of 8228 and 8245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8228 and 8245. First we will calculate the prime factors of 8228 and 8245.

Prime Factorization of 8228

Prime factors of 8228 are 2, 11, 17. Prime factorization of 8228 in exponential form is:

8228 = 22 × 112 × 171

Prime Factorization of 8245

Prime factors of 8245 are 5, 17, 97. Prime factorization of 8245 in exponential form is:

8245 = 51 × 171 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 8228 and 8245.

LCM(8228,8245) = 22 × 112 × 171 × 51 × 971
LCM(8228,8245) = 3990580