What is the Least Common Multiple of 23849 and 23866?
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 23849 and 23866 is 569180234.
LCM(23849,23866) = 569180234
Least Common Multiple of 23849 and 23866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23849 and 23866, than apply into the LCM equation.
GCF(23849,23866) = 1
LCM(23849,23866) = ( 23849 × 23866) / 1
LCM(23849,23866) = 569180234 / 1
LCM(23849,23866) = 569180234
Least Common Multiple (LCM) of 23849 and 23866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23849 and 23866. First we will calculate the prime factors of 23849 and 23866.
Prime Factorization of 23849
Prime factors of 23849 are 7, 3407. Prime factorization of 23849 in exponential form is:
23849 = 71 × 34071
Prime Factorization of 23866
Prime factors of 23866 are 2, 11933. Prime factorization of 23866 in exponential form is:
23866 = 21 × 119331
Now multiplying the highest exponent prime factors to calculate the LCM of 23849 and 23866.
LCM(23849,23866) = 71 × 34071 × 21 × 119331
LCM(23849,23866) = 569180234
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