What is the Least Common Multiple of 41857 and 41866?
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 41857 and 41866 is 1752385162.
LCM(41857,41866) = 1752385162
Least Common Multiple of 41857 and 41866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41857 and 41866, than apply into the LCM equation.
GCF(41857,41866) = 1
LCM(41857,41866) = ( 41857 × 41866) / 1
LCM(41857,41866) = 1752385162 / 1
LCM(41857,41866) = 1752385162
Least Common Multiple (LCM) of 41857 and 41866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41857 and 41866. First we will calculate the prime factors of 41857 and 41866.
Prime Factorization of 41857
Prime factors of 41857 are 19, 2203. Prime factorization of 41857 in exponential form is:
41857 = 191 × 22031
Prime Factorization of 41866
Prime factors of 41866 are 2, 11, 173. Prime factorization of 41866 in exponential form is:
41866 = 21 × 112 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 41857 and 41866.
LCM(41857,41866) = 191 × 22031 × 21 × 112 × 1731
LCM(41857,41866) = 1752385162
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