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What is the Least Common Multiple of 13139 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 13139 and 13149 is 172764711.

LCM(13139,13149) = 172764711

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Least Common Multiple of 13139 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 13139 and 13149, than apply into the LCM equation.

GCF(13139,13149) = 1
LCM(13139,13149) = ( 13139 × 13149) / 1
LCM(13139,13149) = 172764711 / 1
LCM(13139,13149) = 172764711

Least Common Multiple (LCM) of 13139 and 13149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13139 and 13149. First we will calculate the prime factors of 13139 and 13149.

Prime Factorization of 13139

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

13139 = 71 × 18771

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 13139 and 13149.

LCM(13139,13149) = 71 × 18771 × 33 × 4871
LCM(13139,13149) = 172764711