What is the Least Common Multiple of 43891 and 43903?
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 43891 and 43903 is 1926946573.
LCM(43891,43903) = 1926946573
Least Common Multiple of 43891 and 43903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43891 and 43903, than apply into the LCM equation.
GCF(43891,43903) = 1
LCM(43891,43903) = ( 43891 × 43903) / 1
LCM(43891,43903) = 1926946573 / 1
LCM(43891,43903) = 1926946573
Least Common Multiple (LCM) of 43891 and 43903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43891 and 43903. First we will calculate the prime factors of 43891 and 43903.
Prime Factorization of 43891
Prime factors of 43891 are 43891. Prime factorization of 43891 in exponential form is:
43891 = 438911
Prime Factorization of 43903
Prime factors of 43903 are 43, 1021. Prime factorization of 43903 in exponential form is:
43903 = 431 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 43891 and 43903.
LCM(43891,43903) = 438911 × 431 × 10211
LCM(43891,43903) = 1926946573
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