What is the Least Common Multiple of 8266 and 8284?
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 8266 and 8284 is 34237772.
LCM(8266,8284) = 34237772
Least Common Multiple of 8266 and 8284 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8266 and 8284, than apply into the LCM equation.
GCF(8266,8284) = 2
LCM(8266,8284) = ( 8266 × 8284) / 2
LCM(8266,8284) = 68475544 / 2
LCM(8266,8284) = 34237772
Least Common Multiple (LCM) of 8266 and 8284 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8266 and 8284. First we will calculate the prime factors of 8266 and 8284.
Prime Factorization of 8266
Prime factors of 8266 are 2, 4133. Prime factorization of 8266 in exponential form is:
8266 = 21 × 41331
Prime Factorization of 8284
Prime factors of 8284 are 2, 19, 109. Prime factorization of 8284 in exponential form is:
8284 = 22 × 191 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 8266 and 8284.
LCM(8266,8284) = 22 × 41331 × 191 × 1091
LCM(8266,8284) = 34237772
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