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What is the Least Common Multiple of 13114 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 13114 and 13123 is 172095022.

LCM(13114,13123) = 172095022

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Least Common Multiple of 13114 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 13114 and 13123, than apply into the LCM equation.

GCF(13114,13123) = 1
LCM(13114,13123) = ( 13114 × 13123) / 1
LCM(13114,13123) = 172095022 / 1
LCM(13114,13123) = 172095022

Least Common Multiple (LCM) of 13114 and 13123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13114 and 13123. First we will calculate the prime factors of 13114 and 13123.

Prime Factorization of 13114

Prime factors of 13114 are 2, 79, 83. Prime factorization of 13114 in exponential form is:

13114 = 21 × 791 × 831

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 13114 and 13123.

LCM(13114,13123) = 21 × 791 × 831 × 111 × 11931
LCM(13114,13123) = 172095022