What is the Least Common Multiple of 13169 and 13189?
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 13169 and 13189 is 173685941.
LCM(13169,13189) = 173685941
Least Common Multiple of 13169 and 13189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13169 and 13189, than apply into the LCM equation.
GCF(13169,13189) = 1
LCM(13169,13189) = ( 13169 × 13189) / 1
LCM(13169,13189) = 173685941 / 1
LCM(13169,13189) = 173685941
Least Common Multiple (LCM) of 13169 and 13189 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13169 and 13189. First we will calculate the prime factors of 13169 and 13189.
Prime Factorization of 13169
Prime factors of 13169 are 13, 1013. Prime factorization of 13169 in exponential form is:
13169 = 131 × 10131
Prime Factorization of 13189
Prime factors of 13189 are 11, 109. Prime factorization of 13189 in exponential form is:
13189 = 112 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 13169 and 13189.
LCM(13169,13189) = 131 × 10131 × 112 × 1091
LCM(13169,13189) = 173685941
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