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What is the Least Common Multiple of 13134 and 13149?

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 13149 is 57566322.

LCM(13134,13149) = 57566322

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Least Common Multiple of 13134 and 13149 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 13149, than apply into the LCM equation.

GCF(13134,13149) = 3
LCM(13134,13149) = ( 13134 × 13149) / 3
LCM(13134,13149) = 172698966 / 3
LCM(13134,13149) = 57566322

Least Common Multiple (LCM) of 13134 and 13149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13134 and 13149. First we will calculate the prime factors of 13134 and 13149.

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 13149

Prime factors of 13149 are 3, 487. Prime factorization of 13149 in exponential form is:

13149 = 33 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 13134 and 13149.

LCM(13134,13149) = 21 × 33 × 111 × 1991 × 4871
LCM(13134,13149) = 57566322