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What is the Least Common Multiple of 13134 and 13139?

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 13134 and 13139 is 172567626.

LCM(13134,13139) = 172567626

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Least Common Multiple of 13134 and 13139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13134 and 13139, than apply into the LCM equation.

GCF(13134,13139) = 1
LCM(13134,13139) = ( 13134 × 13139) / 1
LCM(13134,13139) = 172567626 / 1
LCM(13134,13139) = 172567626

Least Common Multiple (LCM) of 13134 and 13139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13134 and 13139. First we will calculate the prime factors of 13134 and 13139.

Prime Factorization of 13134

Prime factors of 13134 are 2, 3, 11, 199. Prime factorization of 13134 in exponential form is:

13134 = 21 × 31 × 111 × 1991

Prime Factorization of 13139

Prime factors of 13139 are 7, 1877. Prime factorization of 13139 in exponential form is:

13139 = 71 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 13134 and 13139.

LCM(13134,13139) = 21 × 31 × 111 × 1991 × 71 × 18771
LCM(13134,13139) = 172567626