What is the Least Common Multiple of 80423 and 80439?
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 80423 and 80439 is 6469145697.
LCM(80423,80439) = 6469145697
Least Common Multiple of 80423 and 80439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80423 and 80439, than apply into the LCM equation.
GCF(80423,80439) = 1
LCM(80423,80439) = ( 80423 × 80439) / 1
LCM(80423,80439) = 6469145697 / 1
LCM(80423,80439) = 6469145697
Least Common Multiple (LCM) of 80423 and 80439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80423 and 80439. First we will calculate the prime factors of 80423 and 80439.
Prime Factorization of 80423
Prime factors of 80423 are 7, 11489. Prime factorization of 80423 in exponential form is:
80423 = 71 × 114891
Prime Factorization of 80439
Prime factors of 80439 are 3, 26813. Prime factorization of 80439 in exponential form is:
80439 = 31 × 268131
Now multiplying the highest exponent prime factors to calculate the LCM of 80423 and 80439.
LCM(80423,80439) = 71 × 114891 × 31 × 268131
LCM(80423,80439) = 6469145697
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