What is the Least Common Multiple of 9423 and 9439?
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 9423 and 9439 is 88943697.
LCM(9423,9439) = 88943697
Least Common Multiple of 9423 and 9439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9423 and 9439, than apply into the LCM equation.
GCF(9423,9439) = 1
LCM(9423,9439) = ( 9423 × 9439) / 1
LCM(9423,9439) = 88943697 / 1
LCM(9423,9439) = 88943697
Least Common Multiple (LCM) of 9423 and 9439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9423 and 9439. First we will calculate the prime factors of 9423 and 9439.
Prime Factorization of 9423
Prime factors of 9423 are 3, 349. Prime factorization of 9423 in exponential form is:
9423 = 33 × 3491
Prime Factorization of 9439
Prime factors of 9439 are 9439. Prime factorization of 9439 in exponential form is:
9439 = 94391
Now multiplying the highest exponent prime factors to calculate the LCM of 9423 and 9439.
LCM(9423,9439) = 33 × 3491 × 94391
LCM(9423,9439) = 88943697
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