What is the Least Common Multiple of 41881 and 41885?
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 41881 and 41885 is 1754185685.
LCM(41881,41885) = 1754185685
Least Common Multiple of 41881 and 41885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41881 and 41885, than apply into the LCM equation.
GCF(41881,41885) = 1
LCM(41881,41885) = ( 41881 × 41885) / 1
LCM(41881,41885) = 1754185685 / 1
LCM(41881,41885) = 1754185685
Least Common Multiple (LCM) of 41881 and 41885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41881 and 41885. First we will calculate the prime factors of 41881 and 41885.
Prime Factorization of 41881
Prime factors of 41881 are 7, 31, 193. Prime factorization of 41881 in exponential form is:
41881 = 71 × 311 × 1931
Prime Factorization of 41885
Prime factors of 41885 are 5, 8377. Prime factorization of 41885 in exponential form is:
41885 = 51 × 83771
Now multiplying the highest exponent prime factors to calculate the LCM of 41881 and 41885.
LCM(41881,41885) = 71 × 311 × 1931 × 51 × 83771
LCM(41881,41885) = 1754185685
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