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What is the Least Common Multiple of 23159 and 23179?

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 23179 is 536802461.

LCM(23159,23179) = 536802461

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Least Common Multiple of 23159 and 23179 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 23179, than apply into the LCM equation.

GCF(23159,23179) = 1
LCM(23159,23179) = ( 23159 × 23179) / 1
LCM(23159,23179) = 536802461 / 1
LCM(23159,23179) = 536802461

Least Common Multiple (LCM) of 23159 and 23179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23159 and 23179. First we will calculate the prime factors of 23159 and 23179.

Prime Factorization of 23159

Prime factors of 23159 are 23159. Prime factorization of 23159 in exponential form is:

23159 = 231591

Prime Factorization of 23179

Prime factors of 23179 are 13, 1783. Prime factorization of 23179 in exponential form is:

23179 = 131 × 17831

Now multiplying the highest exponent prime factors to calculate the LCM of 23159 and 23179.

LCM(23159,23179) = 231591 × 131 × 17831
LCM(23159,23179) = 536802461