What is the Least Common Multiple of 41434 and 41439?
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 41434 and 41439 is 1716983526.
LCM(41434,41439) = 1716983526
Least Common Multiple of 41434 and 41439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41434 and 41439, than apply into the LCM equation.
GCF(41434,41439) = 1
LCM(41434,41439) = ( 41434 × 41439) / 1
LCM(41434,41439) = 1716983526 / 1
LCM(41434,41439) = 1716983526
Least Common Multiple (LCM) of 41434 and 41439 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41434 and 41439. First we will calculate the prime factors of 41434 and 41439.
Prime Factorization of 41434
Prime factors of 41434 are 2, 20717. Prime factorization of 41434 in exponential form is:
41434 = 21 × 207171
Prime Factorization of 41439
Prime factors of 41439 are 3, 19, 727. Prime factorization of 41439 in exponential form is:
41439 = 31 × 191 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 41434 and 41439.
LCM(41434,41439) = 21 × 207171 × 31 × 191 × 7271
LCM(41434,41439) = 1716983526
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