GCF and LCM Calculator Logo

What is the Least Common Multiple of 4173 and 4190?

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 4173 and 4190 is 17484870.

LCM(4173,4190) = 17484870

LCM Calculator and
and

Least Common Multiple of 4173 and 4190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4173 and 4190, than apply into the LCM equation.

GCF(4173,4190) = 1
LCM(4173,4190) = ( 4173 × 4190) / 1
LCM(4173,4190) = 17484870 / 1
LCM(4173,4190) = 17484870

Least Common Multiple (LCM) of 4173 and 4190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4173 and 4190. First we will calculate the prime factors of 4173 and 4190.

Prime Factorization of 4173

Prime factors of 4173 are 3, 13, 107. Prime factorization of 4173 in exponential form is:

4173 = 31 × 131 × 1071

Prime Factorization of 4190

Prime factors of 4190 are 2, 5, 419. Prime factorization of 4190 in exponential form is:

4190 = 21 × 51 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 4173 and 4190.

LCM(4173,4190) = 31 × 131 × 1071 × 21 × 51 × 4191
LCM(4173,4190) = 17484870