What is the Least Common Multiple of 40183 and 40191?
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 40183 and 40191 is 1614994953.
LCM(40183,40191) = 1614994953
Least Common Multiple of 40183 and 40191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40183 and 40191, than apply into the LCM equation.
GCF(40183,40191) = 1
LCM(40183,40191) = ( 40183 × 40191) / 1
LCM(40183,40191) = 1614994953 / 1
LCM(40183,40191) = 1614994953
Least Common Multiple (LCM) of 40183 and 40191 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40183 and 40191. First we will calculate the prime factors of 40183 and 40191.
Prime Factorization of 40183
Prime factors of 40183 are 11, 13, 281. Prime factorization of 40183 in exponential form is:
40183 = 111 × 131 × 2811
Prime Factorization of 40191
Prime factors of 40191 are 3, 13397. Prime factorization of 40191 in exponential form is:
40191 = 31 × 133971
Now multiplying the highest exponent prime factors to calculate the LCM of 40183 and 40191.
LCM(40183,40191) = 111 × 131 × 2811 × 31 × 133971
LCM(40183,40191) = 1614994953
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