Least Common Multiple of 10173 and 10179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10173 and 10179 the smallest integer that is 34516989 that is divisible by both numbers.

Least Common Multiple (LCM) of 10173 and 10179 is 34516989.

LCM(10173,10179) = 34516989

LCM of 10173 and 10179

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

LCM of:
and

Least Common Multiple of 10173 and 10179

LCM of 10173 and 10179 is 34516989

Least common multiple can be found by multiplying the highest exponent prime factors of 10173 and 10179. First we will calculate the prime factors of 10173 and 10179.

Prime Factorization of 10173


3 10173
3391 3391
1

Prime factors of 10173 are 3,3391. Prime factorization of 10173 in exponential form is:

10173 = 31×33911

Prime Factorization of 10179


3 10179
3 3393
3 1131
13 377
29 29
1

Prime factors of 10179 are 3, 13,29. Prime factorization of 10179 in exponential form is:

10179 = 33×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 10173 and 10179.

LCM(10173,10179) = 33×131×291×33911
LCM(10173,10179) = 34516989

Factors of 10173

List of positive integer factors of 10173 that divides 10173 without a remainder.

1, 3, 3391, 10173

Factors of 10179

List of positive integer factors of 10179 that divides 10179 without a remainder.

1, 3, 9, 13, 27, 29, 39, 87, 117, 261, 351, 377, 783, 1131, 3393, 10179

Least Common Multiple of 10173 and 10179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10173 and 10179, than apply into the LCM equation.

GCF(10173,10179) = 3
LCM(10173,10179) = ( 10173 × 10179) / 3
LCM(10173,10179) = 103550967 / 3
LCM(10173,10179) = 34516989

Properties of LCM 10173 and 10179

(i) The LCM of 10179 and 10173 is associative

LCM of 10173 and 10179 = LCM of 10179 and 10173

Related Least Common Multiples of 10173

Related Least Common Multiples of 10179

Frequently Asked Questions on LCM of 10173 and 10179

1. What is the LCM of 10173 and 10179?

Answer: LCM of 10173 and 10179 is 34516989.

2. What are the Factors of 10173?

Answer: Factors of 10173 are 1, 3, 3391, 10173. There are 4 integers that are factors of 10173. The greatest factor of 10173 is 10173.

3. What are the Factors of 10179?

Answer: Factors of 10179 are 1, 3, 9, 13, 27, 29, 39, 87, 117, 261, 351, 377, 783, 1131, 3393, 10179. There are 16 integers that are factors of 10179. The greatest factor of 10179 is 10179.

4. How to Find the LCM of 10173 and 10179?

Answer:

Least Common Multiple of 10173 and 10179 = 34516989

Step 1: Find the prime factorization of 10173

10173 = 3 x 3391

Step 2: Find the prime factorization of 10179

10179 = 3 x 3 x 3 x 13 x 29

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

LCM = 34516989 = 3 x 3 x 3 x 13 x 29 x 3391

Step 4: Therefore, the least common multiple of 10173 and 10179 is 34516989.