What is the Least Common Multiple of 41867 and 41873?
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 41867 and 41873 is 1753096891.
LCM(41867,41873) = 1753096891
Least Common Multiple of 41867 and 41873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41867 and 41873, than apply into the LCM equation.
GCF(41867,41873) = 1
LCM(41867,41873) = ( 41867 × 41873) / 1
LCM(41867,41873) = 1753096891 / 1
LCM(41867,41873) = 1753096891
Least Common Multiple (LCM) of 41867 and 41873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41867 and 41873. First we will calculate the prime factors of 41867 and 41873.
Prime Factorization of 41867
Prime factors of 41867 are 7, 5981. Prime factorization of 41867 in exponential form is:
41867 = 71 × 59811
Prime Factorization of 41873
Prime factors of 41873 are 13, 3221. Prime factorization of 41873 in exponential form is:
41873 = 131 × 32211
Now multiplying the highest exponent prime factors to calculate the LCM of 41867 and 41873.
LCM(41867,41873) = 71 × 59811 × 131 × 32211
LCM(41867,41873) = 1753096891
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