What is the Least Common Multiple of 13157 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 13157 and 13163 is 173185591.
LCM(13157,13163) = 173185591
Least Common Multiple of 13157 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 13157 and 13163, than apply into the LCM equation.
GCF(13157,13163) = 1
LCM(13157,13163) = ( 13157 × 13163) / 1
LCM(13157,13163) = 173185591 / 1
LCM(13157,13163) = 173185591
Least Common Multiple (LCM) of 13157 and 13163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13157 and 13163. First we will calculate the prime factors of 13157 and 13163.
Prime Factorization of 13157
Prime factors of 13157 are 59, 223. Prime factorization of 13157 in exponential form is:
13157 = 591 × 2231
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 13157 and 13163.
LCM(13157,13163) = 591 × 2231 × 131631
LCM(13157,13163) = 173185591
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