What is the Least Common Multiple of 41868 and 41881?
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 41868 and 41881 is 1753473708.
LCM(41868,41881) = 1753473708
Least Common Multiple of 41868 and 41881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41868 and 41881, than apply into the LCM equation.
GCF(41868,41881) = 1
LCM(41868,41881) = ( 41868 × 41881) / 1
LCM(41868,41881) = 1753473708 / 1
LCM(41868,41881) = 1753473708
Least Common Multiple (LCM) of 41868 and 41881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41868 and 41881. First we will calculate the prime factors of 41868 and 41881.
Prime Factorization of 41868
Prime factors of 41868 are 2, 3, 1163. Prime factorization of 41868 in exponential form is:
41868 = 22 × 32 × 11631
Prime Factorization of 41881
Prime factors of 41881 are 7, 31, 193. Prime factorization of 41881 in exponential form is:
41881 = 71 × 311 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 41868 and 41881.
LCM(41868,41881) = 22 × 32 × 11631 × 71 × 311 × 1931
LCM(41868,41881) = 1753473708
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