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What is the Least Common Multiple of 13108 and 13116?

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 13108 and 13116 is 42981132.

LCM(13108,13116) = 42981132

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Least Common Multiple of 13108 and 13116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13108 and 13116, than apply into the LCM equation.

GCF(13108,13116) = 4
LCM(13108,13116) = ( 13108 × 13116) / 4
LCM(13108,13116) = 171924528 / 4
LCM(13108,13116) = 42981132

Least Common Multiple (LCM) of 13108 and 13116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13108 and 13116. First we will calculate the prime factors of 13108 and 13116.

Prime Factorization of 13108

Prime factors of 13108 are 2, 29, 113. Prime factorization of 13108 in exponential form is:

13108 = 22 × 291 × 1131

Prime Factorization of 13116

Prime factors of 13116 are 2, 3, 1093. Prime factorization of 13116 in exponential form is:

13116 = 22 × 31 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 13108 and 13116.

LCM(13108,13116) = 22 × 291 × 1131 × 31 × 10931
LCM(13108,13116) = 42981132