What is the Least Common Multiple of 8419 and 8439?
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 8419 and 8439 is 71047941.
LCM(8419,8439) = 71047941
Least Common Multiple of 8419 and 8439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8419 and 8439, than apply into the LCM equation.
GCF(8419,8439) = 1
LCM(8419,8439) = ( 8419 × 8439) / 1
LCM(8419,8439) = 71047941 / 1
LCM(8419,8439) = 71047941
Least Common Multiple (LCM) of 8419 and 8439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8419 and 8439. First we will calculate the prime factors of 8419 and 8439.
Prime Factorization of 8419
Prime factors of 8419 are 8419. Prime factorization of 8419 in exponential form is:
8419 = 84191
Prime Factorization of 8439
Prime factors of 8439 are 3, 29, 97. Prime factorization of 8439 in exponential form is:
8439 = 31 × 291 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 8419 and 8439.
LCM(8419,8439) = 84191 × 31 × 291 × 971
LCM(8419,8439) = 71047941
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