What is the Least Common Multiple of 23159 and 23167?
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 23159 and 23167 is 536524553.
LCM(23159,23167) = 536524553
Least Common Multiple of 23159 and 23167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23159 and 23167, than apply into the LCM equation.
GCF(23159,23167) = 1
LCM(23159,23167) = ( 23159 × 23167) / 1
LCM(23159,23167) = 536524553 / 1
LCM(23159,23167) = 536524553
Least Common Multiple (LCM) of 23159 and 23167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23159 and 23167. First we will calculate the prime factors of 23159 and 23167.
Prime Factorization of 23159
Prime factors of 23159 are 23159. Prime factorization of 23159 in exponential form is:
23159 = 231591
Prime Factorization of 23167
Prime factors of 23167 are 23167. Prime factorization of 23167 in exponential form is:
23167 = 231671
Now multiplying the highest exponent prime factors to calculate the LCM of 23159 and 23167.
LCM(23159,23167) = 231591 × 231671
LCM(23159,23167) = 536524553
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