GCF and LCM Calculator Logo

What is the Least Common Multiple of 16141 and 16145?

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 16145 is 260596445.

LCM(16141,16145) = 260596445

LCM Calculator and
and

Least Common Multiple of 16141 and 16145 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 16145, than apply into the LCM equation.

GCF(16141,16145) = 1
LCM(16141,16145) = ( 16141 × 16145) / 1
LCM(16141,16145) = 260596445 / 1
LCM(16141,16145) = 260596445

Least Common Multiple (LCM) of 16141 and 16145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16141 and 16145. First we will calculate the prime factors of 16141 and 16145.

Prime Factorization of 16141

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

16141 = 161411

Prime Factorization of 16145

Prime factors of 16145 are 5, 3229. Prime factorization of 16145 in exponential form is:

16145 = 51 × 32291

Now multiplying the highest exponent prime factors to calculate the LCM of 16141 and 16145.

LCM(16141,16145) = 161411 × 51 × 32291
LCM(16141,16145) = 260596445