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What is the Least Common Multiple of 13416 and 13427?

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 13416 and 13427 is 180136632.

LCM(13416,13427) = 180136632

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Least Common Multiple of 13416 and 13427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13416 and 13427, than apply into the LCM equation.

GCF(13416,13427) = 1
LCM(13416,13427) = ( 13416 × 13427) / 1
LCM(13416,13427) = 180136632 / 1
LCM(13416,13427) = 180136632

Least Common Multiple (LCM) of 13416 and 13427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13416 and 13427. First we will calculate the prime factors of 13416 and 13427.

Prime Factorization of 13416

Prime factors of 13416 are 2, 3, 13, 43. Prime factorization of 13416 in exponential form is:

13416 = 23 × 31 × 131 × 431

Prime Factorization of 13427

Prime factors of 13427 are 29, 463. Prime factorization of 13427 in exponential form is:

13427 = 291 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 13416 and 13427.

LCM(13416,13427) = 23 × 31 × 131 × 431 × 291 × 4631
LCM(13416,13427) = 180136632