What is the Least Common Multiple of 8467 and 8473?
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 8467 and 8473 is 71740891.
LCM(8467,8473) = 71740891
Least Common Multiple of 8467 and 8473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8467 and 8473, than apply into the LCM equation.
GCF(8467,8473) = 1
LCM(8467,8473) = ( 8467 × 8473) / 1
LCM(8467,8473) = 71740891 / 1
LCM(8467,8473) = 71740891
Least Common Multiple (LCM) of 8467 and 8473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8467 and 8473. First we will calculate the prime factors of 8467 and 8473.
Prime Factorization of 8467
Prime factors of 8467 are 8467. Prime factorization of 8467 in exponential form is:
8467 = 84671
Prime Factorization of 8473
Prime factors of 8473 are 37, 229. Prime factorization of 8473 in exponential form is:
8473 = 371 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 8467 and 8473.
LCM(8467,8473) = 84671 × 371 × 2291
LCM(8467,8473) = 71740891
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