What is the Least Common Multiple of 40841 and 40853?
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 40841 and 40853 is 1668477373.
LCM(40841,40853) = 1668477373
Least Common Multiple of 40841 and 40853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40841 and 40853, than apply into the LCM equation.
GCF(40841,40853) = 1
LCM(40841,40853) = ( 40841 × 40853) / 1
LCM(40841,40853) = 1668477373 / 1
LCM(40841,40853) = 1668477373
Least Common Multiple (LCM) of 40841 and 40853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40841 and 40853. First we will calculate the prime factors of 40841 and 40853.
Prime Factorization of 40841
Prime factors of 40841 are 40841. Prime factorization of 40841 in exponential form is:
40841 = 408411
Prime Factorization of 40853
Prime factors of 40853 are 40853. Prime factorization of 40853 in exponential form is:
40853 = 408531
Now multiplying the highest exponent prime factors to calculate the LCM of 40841 and 40853.
LCM(40841,40853) = 408411 × 408531
LCM(40841,40853) = 1668477373
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