What is the Least Common Multiple of 23169 and 23173?
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 23169 and 23173 is 536895237.
LCM(23169,23173) = 536895237
Least Common Multiple of 23169 and 23173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23169 and 23173, than apply into the LCM equation.
GCF(23169,23173) = 1
LCM(23169,23173) = ( 23169 × 23173) / 1
LCM(23169,23173) = 536895237 / 1
LCM(23169,23173) = 536895237
Least Common Multiple (LCM) of 23169 and 23173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23169 and 23173. First we will calculate the prime factors of 23169 and 23173.
Prime Factorization of 23169
Prime factors of 23169 are 3, 7723. Prime factorization of 23169 in exponential form is:
23169 = 31 × 77231
Prime Factorization of 23173
Prime factors of 23173 are 23173. Prime factorization of 23173 in exponential form is:
23173 = 231731
Now multiplying the highest exponent prime factors to calculate the LCM of 23169 and 23173.
LCM(23169,23173) = 31 × 77231 × 231731
LCM(23169,23173) = 536895237
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