What is the Least Common Multiple of 8463 and 8482?
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 8463 and 8482 is 71783166.
LCM(8463,8482) = 71783166
Least Common Multiple of 8463 and 8482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8463 and 8482, than apply into the LCM equation.
GCF(8463,8482) = 1
LCM(8463,8482) = ( 8463 × 8482) / 1
LCM(8463,8482) = 71783166 / 1
LCM(8463,8482) = 71783166
Least Common Multiple (LCM) of 8463 and 8482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8463 and 8482. First we will calculate the prime factors of 8463 and 8482.
Prime Factorization of 8463
Prime factors of 8463 are 3, 7, 13, 31. Prime factorization of 8463 in exponential form is:
8463 = 31 × 71 × 131 × 311
Prime Factorization of 8482
Prime factors of 8482 are 2, 4241. Prime factorization of 8482 in exponential form is:
8482 = 21 × 42411
Now multiplying the highest exponent prime factors to calculate the LCM of 8463 and 8482.
LCM(8463,8482) = 31 × 71 × 131 × 311 × 21 × 42411
LCM(8463,8482) = 71783166
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