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What is the Least Common Multiple of 8276 and 8282?

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 8276 and 8282 is 34270916.

LCM(8276,8282) = 34270916

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Least Common Multiple of 8276 and 8282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8276 and 8282, than apply into the LCM equation.

GCF(8276,8282) = 2
LCM(8276,8282) = ( 8276 × 8282) / 2
LCM(8276,8282) = 68541832 / 2
LCM(8276,8282) = 34270916

Least Common Multiple (LCM) of 8276 and 8282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8276 and 8282. First we will calculate the prime factors of 8276 and 8282.

Prime Factorization of 8276

Prime factors of 8276 are 2, 2069. Prime factorization of 8276 in exponential form is:

8276 = 22 × 20691

Prime Factorization of 8282

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

8282 = 21 × 411 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8276 and 8282.

LCM(8276,8282) = 22 × 20691 × 411 × 1011
LCM(8276,8282) = 34270916