What is the Least Common Multiple of 13147 and 13163?
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 13147 and 13163 is 173053961.
LCM(13147,13163) = 173053961
Least Common Multiple of 13147 and 13163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13147 and 13163, than apply into the LCM equation.
GCF(13147,13163) = 1
LCM(13147,13163) = ( 13147 × 13163) / 1
LCM(13147,13163) = 173053961 / 1
LCM(13147,13163) = 173053961
Least Common Multiple (LCM) of 13147 and 13163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13147 and 13163. First we will calculate the prime factors of 13147 and 13163.
Prime Factorization of 13147
Prime factors of 13147 are 13147. Prime factorization of 13147 in exponential form is:
13147 = 131471
Prime Factorization of 13163
Prime factors of 13163 are 13163. Prime factorization of 13163 in exponential form is:
13163 = 131631
Now multiplying the highest exponent prime factors to calculate the LCM of 13147 and 13163.
LCM(13147,13163) = 131471 × 131631
LCM(13147,13163) = 173053961
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