What is the Least Common Multiple of 20161 and 20173?
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 20161 and 20173 is 406707853.
LCM(20161,20173) = 406707853
Least Common Multiple of 20161 and 20173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20161 and 20173, than apply into the LCM equation.
GCF(20161,20173) = 1
LCM(20161,20173) = ( 20161 × 20173) / 1
LCM(20161,20173) = 406707853 / 1
LCM(20161,20173) = 406707853
Least Common Multiple (LCM) of 20161 and 20173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20161 and 20173. First we will calculate the prime factors of 20161 and 20173.
Prime Factorization of 20161
Prime factors of 20161 are 20161. Prime factorization of 20161 in exponential form is:
20161 = 201611
Prime Factorization of 20173
Prime factors of 20173 are 20173. Prime factorization of 20173 in exponential form is:
20173 = 201731
Now multiplying the highest exponent prime factors to calculate the LCM of 20161 and 20173.
LCM(20161,20173) = 201611 × 201731
LCM(20161,20173) = 406707853
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