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What is the Least Common Multiple of 16136 and 16149?

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 16136 and 16149 is 260580264.

LCM(16136,16149) = 260580264

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Least Common Multiple of 16136 and 16149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16136 and 16149, than apply into the LCM equation.

GCF(16136,16149) = 1
LCM(16136,16149) = ( 16136 × 16149) / 1
LCM(16136,16149) = 260580264 / 1
LCM(16136,16149) = 260580264

Least Common Multiple (LCM) of 16136 and 16149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16136 and 16149. First we will calculate the prime factors of 16136 and 16149.

Prime Factorization of 16136

Prime factors of 16136 are 2, 2017. Prime factorization of 16136 in exponential form is:

16136 = 23 × 20171

Prime Factorization of 16149

Prime factors of 16149 are 3, 7, 769. Prime factorization of 16149 in exponential form is:

16149 = 31 × 71 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 16136 and 16149.

LCM(16136,16149) = 23 × 20171 × 31 × 71 × 7691
LCM(16136,16149) = 260580264