GCF and LCM Calculator Logo

What is the Least Common Multiple of 16173 and 16184?

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 16173 and 16184 is 261743832.

LCM(16173,16184) = 261743832

LCM Calculator and
and

Least Common Multiple of 16173 and 16184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16173 and 16184, than apply into the LCM equation.

GCF(16173,16184) = 1
LCM(16173,16184) = ( 16173 × 16184) / 1
LCM(16173,16184) = 261743832 / 1
LCM(16173,16184) = 261743832

Least Common Multiple (LCM) of 16173 and 16184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16173 and 16184. First we will calculate the prime factors of 16173 and 16184.

Prime Factorization of 16173

Prime factors of 16173 are 3, 599. Prime factorization of 16173 in exponential form is:

16173 = 33 × 5991

Prime Factorization of 16184

Prime factors of 16184 are 2, 7, 17. Prime factorization of 16184 in exponential form is:

16184 = 23 × 71 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 16173 and 16184.

LCM(16173,16184) = 33 × 5991 × 23 × 71 × 172
LCM(16173,16184) = 261743832