What is the Least Common Multiple of 16467 and 16471?
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 16467 and 16471 is 271227957.
LCM(16467,16471) = 271227957
Least Common Multiple of 16467 and 16471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16467 and 16471, than apply into the LCM equation.
GCF(16467,16471) = 1
LCM(16467,16471) = ( 16467 × 16471) / 1
LCM(16467,16471) = 271227957 / 1
LCM(16467,16471) = 271227957
Least Common Multiple (LCM) of 16467 and 16471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16467 and 16471. First we will calculate the prime factors of 16467 and 16471.
Prime Factorization of 16467
Prime factors of 16467 are 3, 11, 499. Prime factorization of 16467 in exponential form is:
16467 = 31 × 111 × 4991
Prime Factorization of 16471
Prime factors of 16471 are 7, 13, 181. Prime factorization of 16471 in exponential form is:
16471 = 71 × 131 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 16467 and 16471.
LCM(16467,16471) = 31 × 111 × 4991 × 71 × 131 × 1811
LCM(16467,16471) = 271227957
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