What is the Least Common Multiple of 8447 and 8466?
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 8447 and 8466 is 71512302.
LCM(8447,8466) = 71512302
Least Common Multiple of 8447 and 8466 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8447 and 8466, than apply into the LCM equation.
GCF(8447,8466) = 1
LCM(8447,8466) = ( 8447 × 8466) / 1
LCM(8447,8466) = 71512302 / 1
LCM(8447,8466) = 71512302
Least Common Multiple (LCM) of 8447 and 8466 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8447 and 8466. First we will calculate the prime factors of 8447 and 8466.
Prime Factorization of 8447
Prime factors of 8447 are 8447. Prime factorization of 8447 in exponential form is:
8447 = 84471
Prime Factorization of 8466
Prime factors of 8466 are 2, 3, 17, 83. Prime factorization of 8466 in exponential form is:
8466 = 21 × 31 × 171 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 8447 and 8466.
LCM(8447,8466) = 84471 × 21 × 31 × 171 × 831
LCM(8447,8466) = 71512302
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