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What is the Least Common Multiple of 13116 and 13120?

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 13116 and 13120 is 43020480.

LCM(13116,13120) = 43020480

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Least Common Multiple of 13116 and 13120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13116 and 13120, than apply into the LCM equation.

GCF(13116,13120) = 4
LCM(13116,13120) = ( 13116 × 13120) / 4
LCM(13116,13120) = 172081920 / 4
LCM(13116,13120) = 43020480

Least Common Multiple (LCM) of 13116 and 13120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13116 and 13120. First we will calculate the prime factors of 13116 and 13120.

Prime Factorization of 13116

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

13116 = 22 × 31 × 10931

Prime Factorization of 13120

Prime factors of 13120 are 2, 5, 41. Prime factorization of 13120 in exponential form is:

13120 = 26 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13116 and 13120.

LCM(13116,13120) = 26 × 31 × 10931 × 51 × 411
LCM(13116,13120) = 43020480