GCF and LCM Calculator Logo

What is the Least Common Multiple of 16146 and 16150?

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 16146 and 16150 is 130378950.

LCM(16146,16150) = 130378950

LCM Calculator and
and

Least Common Multiple of 16146 and 16150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16146 and 16150, than apply into the LCM equation.

GCF(16146,16150) = 2
LCM(16146,16150) = ( 16146 × 16150) / 2
LCM(16146,16150) = 260757900 / 2
LCM(16146,16150) = 130378950

Least Common Multiple (LCM) of 16146 and 16150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16146 and 16150. First we will calculate the prime factors of 16146 and 16150.

Prime Factorization of 16146

Prime factors of 16146 are 2, 3, 13, 23. Prime factorization of 16146 in exponential form is:

16146 = 21 × 33 × 131 × 231

Prime Factorization of 16150

Prime factors of 16150 are 2, 5, 17, 19. Prime factorization of 16150 in exponential form is:

16150 = 21 × 52 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 16146 and 16150.

LCM(16146,16150) = 21 × 33 × 131 × 231 × 52 × 171 × 191
LCM(16146,16150) = 130378950