What is the Least Common Multiple of 23849 and 23857?
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 23857 is 568965593.
LCM(23849,23857) = 568965593
Least Common Multiple of 23849 and 23857 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 23857, than apply into the LCM equation.
GCF(23849,23857) = 1
LCM(23849,23857) = ( 23849 × 23857) / 1
LCM(23849,23857) = 568965593 / 1
LCM(23849,23857) = 568965593
Least Common Multiple (LCM) of 23849 and 23857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23849 and 23857. First we will calculate the prime factors of 23849 and 23857.
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 23857
Prime factors of 23857 are 23857. Prime factorization of 23857 in exponential form is:
23857 = 238571
Now multiplying the highest exponent prime factors to calculate the LCM of 23849 and 23857.
LCM(23849,23857) = 71 × 34071 × 238571
LCM(23849,23857) = 568965593
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