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What is the Least Common Multiple of 13153 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 13153 and 13167 is 24740793.

LCM(13153,13167) = 24740793

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Least Common Multiple of 13153 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 13153 and 13167, than apply into the LCM equation.

GCF(13153,13167) = 7
LCM(13153,13167) = ( 13153 × 13167) / 7
LCM(13153,13167) = 173185551 / 7
LCM(13153,13167) = 24740793

Least Common Multiple (LCM) of 13153 and 13167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13153 and 13167. First we will calculate the prime factors of 13153 and 13167.

Prime Factorization of 13153

Prime factors of 13153 are 7, 1879. Prime factorization of 13153 in exponential form is:

13153 = 71 × 18791

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 13153 and 13167.

LCM(13153,13167) = 71 × 18791 × 32 × 111 × 191
LCM(13153,13167) = 24740793