Least Common Multiple of 34173 and 34179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34173 and 34179 the smallest integer that is 389332989 that is divisible by both numbers.

Least Common Multiple (LCM) of 34173 and 34179 is 389332989.

LCM(34173,34179) = 389332989

LCM of 34173 and 34179

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 34173 and 34179

LCM of 34173 and 34179 is 389332989

Least common multiple can be found by multiplying the highest exponent prime factors of 34173 and 34179. First we will calculate the prime factors of 34173 and 34179.

Prime Factorization of 34173


3 34173
3 11391
3797 3797
1

Prime factors of 34173 are 3,3797. Prime factorization of 34173 in exponential form is:

34173 = 32×37971

Prime Factorization of 34179


3 34179
11393 11393
1

Prime factors of 34179 are 3,11393. Prime factorization of 34179 in exponential form is:

34179 = 31×113931

Now multiplying the highest exponent prime factors to calculate the LCM of 34173 and 34179.

LCM(34173,34179) = 32×37971×113931
LCM(34173,34179) = 389332989

Factors of 34173

List of positive integer factors of 34173 that divides 34173 without a remainder.

1, 3, 9, 3797, 11391, 34173

Factors of 34179

List of positive integer factors of 34179 that divides 34179 without a remainder.

1, 3, 11393, 34179

Least Common Multiple of 34173 and 34179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34173 and 34179, than apply into the LCM equation.

GCF(34173,34179) = 3
LCM(34173,34179) = ( 34173 × 34179) / 3
LCM(34173,34179) = 1167998967 / 3
LCM(34173,34179) = 389332989

Properties of LCM 34173 and 34179

(i) The LCM of 34179 and 34173 is associative

LCM of 34173 and 34179 = LCM of 34179 and 34173

Related Least Common Multiples of 34173

Related Least Common Multiples of 34179

Frequently Asked Questions on LCM of 34173 and 34179

1. What is the LCM of 34173 and 34179?

Answer: LCM of 34173 and 34179 is 389332989.

2. What are the Factors of 34173?

Answer: Factors of 34173 are 1, 3, 9, 3797, 11391, 34173. There are 6 integers that are factors of 34173. The greatest factor of 34173 is 34173.

3. What are the Factors of 34179?

Answer: Factors of 34179 are 1, 3, 11393, 34179. There are 4 integers that are factors of 34179. The greatest factor of 34179 is 34179.

4. How to Find the LCM of 34173 and 34179?

Answer:

Least Common Multiple of 34173 and 34179 = 389332989

Step 1: Find the prime factorization of 34173

34173 = 3 x 3 x 3797

Step 2: Find the prime factorization of 34179

34179 = 3 x 11393

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 389332989 = 3 x 3 x 3797 x 11393

Step 4: Therefore, the least common multiple of 34173 and 34179 is 389332989.