What is the Least Common Multiple of 9467 and 9471?
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 9467 and 9471 is 89661957.
LCM(9467,9471) = 89661957
Least Common Multiple of 9467 and 9471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9467 and 9471, than apply into the LCM equation.
GCF(9467,9471) = 1
LCM(9467,9471) = ( 9467 × 9471) / 1
LCM(9467,9471) = 89661957 / 1
LCM(9467,9471) = 89661957
Least Common Multiple (LCM) of 9467 and 9471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9467 and 9471. First we will calculate the prime factors of 9467 and 9471.
Prime Factorization of 9467
Prime factors of 9467 are 9467. Prime factorization of 9467 in exponential form is:
9467 = 94671
Prime Factorization of 9471
Prime factors of 9471 are 3, 7, 11, 41. Prime factorization of 9471 in exponential form is:
9471 = 31 × 71 × 111 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 9467 and 9471.
LCM(9467,9471) = 94671 × 31 × 71 × 111 × 411
LCM(9467,9471) = 89661957
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