What is the Least Common Multiple of 8463 and 8481?
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 8481 is 23924901.
LCM(8463,8481) = 23924901
Least Common Multiple of 8463 and 8481 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 8481, than apply into the LCM equation.
GCF(8463,8481) = 3
LCM(8463,8481) = ( 8463 × 8481) / 3
LCM(8463,8481) = 71774703 / 3
LCM(8463,8481) = 23924901
Least Common Multiple (LCM) of 8463 and 8481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8463 and 8481. First we will calculate the prime factors of 8463 and 8481.
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 8481
Prime factors of 8481 are 3, 11, 257. Prime factorization of 8481 in exponential form is:
8481 = 31 × 111 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 8463 and 8481.
LCM(8463,8481) = 31 × 71 × 131 × 311 × 111 × 2571
LCM(8463,8481) = 23924901
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