What is the Least Common Multiple of 41863 and 41869?
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 41863 and 41869 is 1752761947.
LCM(41863,41869) = 1752761947
Least Common Multiple of 41863 and 41869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41863 and 41869, than apply into the LCM equation.
GCF(41863,41869) = 1
LCM(41863,41869) = ( 41863 × 41869) / 1
LCM(41863,41869) = 1752761947 / 1
LCM(41863,41869) = 1752761947
Least Common Multiple (LCM) of 41863 and 41869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41863 and 41869. First we will calculate the prime factors of 41863 and 41869.
Prime Factorization of 41863
Prime factors of 41863 are 41863. Prime factorization of 41863 in exponential form is:
41863 = 418631
Prime Factorization of 41869
Prime factors of 41869 are 149, 281. Prime factorization of 41869 in exponential form is:
41869 = 1491 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 41863 and 41869.
LCM(41863,41869) = 418631 × 1491 × 2811
LCM(41863,41869) = 1752761947
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