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What is the Least Common Multiple of 13160 and 13167?

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 13160 and 13167 is 24753960.

LCM(13160,13167) = 24753960

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Least Common Multiple of 13160 and 13167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13160 and 13167, than apply into the LCM equation.

GCF(13160,13167) = 7
LCM(13160,13167) = ( 13160 × 13167) / 7
LCM(13160,13167) = 173277720 / 7
LCM(13160,13167) = 24753960

Least Common Multiple (LCM) of 13160 and 13167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13160 and 13167. First we will calculate the prime factors of 13160 and 13167.

Prime Factorization of 13160

Prime factors of 13160 are 2, 5, 7, 47. Prime factorization of 13160 in exponential form is:

13160 = 23 × 51 × 71 × 471

Prime Factorization of 13167

Prime factors of 13167 are 3, 7, 11, 19. Prime factorization of 13167 in exponential form is:

13167 = 32 × 71 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 13160 and 13167.

LCM(13160,13167) = 23 × 51 × 71 × 471 × 32 × 111 × 191
LCM(13160,13167) = 24753960