What is the Least Common Multiple of 14193 and 14197?
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 14193 and 14197 is 201498021.
LCM(14193,14197) = 201498021
Least Common Multiple of 14193 and 14197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14193 and 14197, than apply into the LCM equation.
GCF(14193,14197) = 1
LCM(14193,14197) = ( 14193 × 14197) / 1
LCM(14193,14197) = 201498021 / 1
LCM(14193,14197) = 201498021
Least Common Multiple (LCM) of 14193 and 14197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14193 and 14197. First we will calculate the prime factors of 14193 and 14197.
Prime Factorization of 14193
Prime factors of 14193 are 3, 19, 83. Prime factorization of 14193 in exponential form is:
14193 = 32 × 191 × 831
Prime Factorization of 14197
Prime factors of 14197 are 14197. Prime factorization of 14197 in exponential form is:
14197 = 141971
Now multiplying the highest exponent prime factors to calculate the LCM of 14193 and 14197.
LCM(14193,14197) = 32 × 191 × 831 × 141971
LCM(14193,14197) = 201498021
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