What is the Least Common Multiple of 83423 and 83439?
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 83423 and 83439 is 6960731697.
LCM(83423,83439) = 6960731697
Least Common Multiple of 83423 and 83439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83423 and 83439, than apply into the LCM equation.
GCF(83423,83439) = 1
LCM(83423,83439) = ( 83423 × 83439) / 1
LCM(83423,83439) = 6960731697 / 1
LCM(83423,83439) = 6960731697
Least Common Multiple (LCM) of 83423 and 83439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83423 and 83439. First we will calculate the prime factors of 83423 and 83439.
Prime Factorization of 83423
Prime factors of 83423 are 83423. Prime factorization of 83423 in exponential form is:
83423 = 834231
Prime Factorization of 83439
Prime factors of 83439 are 3, 73, 127. Prime factorization of 83439 in exponential form is:
83439 = 32 × 731 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 83423 and 83439.
LCM(83423,83439) = 834231 × 32 × 731 × 1271
LCM(83423,83439) = 6960731697
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