GCF and LCM Calculator Logo

What is the Least Common Multiple of 16141 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 16141 and 16149 is 260661009.

LCM(16141,16149) = 260661009

LCM Calculator and
and

Least Common Multiple of 16141 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 16141 and 16149, than apply into the LCM equation.

GCF(16141,16149) = 1
LCM(16141,16149) = ( 16141 × 16149) / 1
LCM(16141,16149) = 260661009 / 1
LCM(16141,16149) = 260661009

Least Common Multiple (LCM) of 16141 and 16149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16141 and 16149. First we will calculate the prime factors of 16141 and 16149.

Prime Factorization of 16141

Prime factors of 16141 are 16141. Prime factorization of 16141 in exponential form is:

16141 = 161411

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 16141 and 16149.

LCM(16141,16149) = 161411 × 31 × 71 × 7691
LCM(16141,16149) = 260661009