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What is the Least Common Multiple of 8282 and 8290?

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 8282 and 8290 is 34328890.

LCM(8282,8290) = 34328890

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Least Common Multiple of 8282 and 8290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8282 and 8290, than apply into the LCM equation.

GCF(8282,8290) = 2
LCM(8282,8290) = ( 8282 × 8290) / 2
LCM(8282,8290) = 68657780 / 2
LCM(8282,8290) = 34328890

Least Common Multiple (LCM) of 8282 and 8290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8282 and 8290. First we will calculate the prime factors of 8282 and 8290.

Prime Factorization of 8282

Prime factors of 8282 are 2, 41, 101. Prime factorization of 8282 in exponential form is:

8282 = 21 × 411 × 1011

Prime Factorization of 8290

Prime factors of 8290 are 2, 5, 829. Prime factorization of 8290 in exponential form is:

8290 = 21 × 51 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 8282 and 8290.

LCM(8282,8290) = 21 × 411 × 1011 × 51 × 8291
LCM(8282,8290) = 34328890