What is the Least Common Multiple of 41885 and 41895?
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 41885 and 41895 is 350954415.
LCM(41885,41895) = 350954415
Least Common Multiple of 41885 and 41895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41885 and 41895, than apply into the LCM equation.
GCF(41885,41895) = 5
LCM(41885,41895) = ( 41885 × 41895) / 5
LCM(41885,41895) = 1754772075 / 5
LCM(41885,41895) = 350954415
Least Common Multiple (LCM) of 41885 and 41895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41885 and 41895. First we will calculate the prime factors of 41885 and 41895.
Prime Factorization of 41885
Prime factors of 41885 are 5, 8377. Prime factorization of 41885 in exponential form is:
41885 = 51 × 83771
Prime Factorization of 41895
Prime factors of 41895 are 3, 5, 7, 19. Prime factorization of 41895 in exponential form is:
41895 = 32 × 51 × 72 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 41885 and 41895.
LCM(41885,41895) = 51 × 83771 × 32 × 72 × 191
LCM(41885,41895) = 350954415
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