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What is the Least Common Multiple of 8260 and 8268?

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 8260 and 8268 is 17073420.

LCM(8260,8268) = 17073420

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Least Common Multiple of 8260 and 8268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8260 and 8268, than apply into the LCM equation.

GCF(8260,8268) = 4
LCM(8260,8268) = ( 8260 × 8268) / 4
LCM(8260,8268) = 68293680 / 4
LCM(8260,8268) = 17073420

Least Common Multiple (LCM) of 8260 and 8268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8260 and 8268. First we will calculate the prime factors of 8260 and 8268.

Prime Factorization of 8260

Prime factors of 8260 are 2, 5, 7, 59. Prime factorization of 8260 in exponential form is:

8260 = 22 × 51 × 71 × 591

Prime Factorization of 8268

Prime factors of 8268 are 2, 3, 13, 53. Prime factorization of 8268 in exponential form is:

8268 = 22 × 31 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8260 and 8268.

LCM(8260,8268) = 22 × 51 × 71 × 591 × 31 × 131 × 531
LCM(8260,8268) = 17073420