What is the Least Common Multiple of 8296 and 8311?
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 8296 and 8311 is 68948056.
LCM(8296,8311) = 68948056
Least Common Multiple of 8296 and 8311 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8296 and 8311, than apply into the LCM equation.
GCF(8296,8311) = 1
LCM(8296,8311) = ( 8296 × 8311) / 1
LCM(8296,8311) = 68948056 / 1
LCM(8296,8311) = 68948056
Least Common Multiple (LCM) of 8296 and 8311 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8296 and 8311. First we will calculate the prime factors of 8296 and 8311.
Prime Factorization of 8296
Prime factors of 8296 are 2, 17, 61. Prime factorization of 8296 in exponential form is:
8296 = 23 × 171 × 611
Prime Factorization of 8311
Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:
8311 = 83111
Now multiplying the highest exponent prime factors to calculate the LCM of 8296 and 8311.
LCM(8296,8311) = 23 × 171 × 611 × 83111
LCM(8296,8311) = 68948056
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