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What is the Least Common Multiple of 13115 and 13123?

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 13115 and 13123 is 172108145.

LCM(13115,13123) = 172108145

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Least Common Multiple of 13115 and 13123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13115 and 13123, than apply into the LCM equation.

GCF(13115,13123) = 1
LCM(13115,13123) = ( 13115 × 13123) / 1
LCM(13115,13123) = 172108145 / 1
LCM(13115,13123) = 172108145

Least Common Multiple (LCM) of 13115 and 13123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13115 and 13123. First we will calculate the prime factors of 13115 and 13123.

Prime Factorization of 13115

Prime factors of 13115 are 5, 43, 61. Prime factorization of 13115 in exponential form is:

13115 = 51 × 431 × 611

Prime Factorization of 13123

Prime factors of 13123 are 11, 1193. Prime factorization of 13123 in exponential form is:

13123 = 111 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 13115 and 13123.

LCM(13115,13123) = 51 × 431 × 611 × 111 × 11931
LCM(13115,13123) = 172108145