Least Common Multiple of 10169 and 10173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10169 and 10173 the smallest integer that is 103449237 that is divisible by both numbers.

Least Common Multiple (LCM) of 10169 and 10173 is 103449237.

LCM(10169,10173) = 103449237

LCM of 10169 and 10173

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

LCM of:
and

Least Common Multiple of 10169 and 10173

LCM of 10169 and 10173 is 103449237

Least common multiple can be found by multiplying the highest exponent prime factors of 10169 and 10173. First we will calculate the prime factors of 10169 and 10173.

Prime Factorization of 10169


10169 10169
1

Prime factors of 10169 are 10169. Prime factorization of 10169 in exponential form is:

10169 = 101691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10169 and 10173.

LCM(10169,10173) = 31×33911×101691
LCM(10169,10173) = 103449237

Factors of 10169

List of positive integer factors of 10169 that divides 10169 without a remainder.

1, 10169

Factors of 10173

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

1, 3, 3391, 10173

Least Common Multiple of 10169 and 10173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10169 and 10173, than apply into the LCM equation.

GCF(10169,10173) = 1
LCM(10169,10173) = ( 10169 × 10173) / 1
LCM(10169,10173) = 103449237 / 1
LCM(10169,10173) = 103449237

Properties of LCM 10169 and 10173

(i) The LCM of 10173 and 10169 is associative

LCM of 10169 and 10173 = LCM of 10173 and 10169

Related Least Common Multiples of 10169

Related Least Common Multiples of 10173

Frequently Asked Questions on LCM of 10169 and 10173

1. What is the LCM of 10169 and 10173?

Answer: LCM of 10169 and 10173 is 103449237.

2. What are the Factors of 10169?

Answer: Factors of 10169 are 1, 10169. There are 2 integers that are factors of 10169. The greatest factor of 10169 is 10169.

3. 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.

4. How to Find the LCM of 10169 and 10173?

Answer:

Least Common Multiple of 10169 and 10173 = 103449237

Step 1: Find the prime factorization of 10169

10169 = 10169

Step 2: Find the prime factorization of 10173

10173 = 3 x 3391

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

LCM = 103449237 = 3 x 3391 x 10169

Step 4: Therefore, the least common multiple of 10169 and 10173 is 103449237.