Least Common Multiple of 10168 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 10168 and 10173 the smallest integer that is 103439064 that is divisible by both numbers.

Least Common Multiple (LCM) of 10168 and 10173 is 103439064.

LCM(10168,10173) = 103439064

LCM of 10168 and 10173

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

LCM of:
and

Least Common Multiple of 10168 and 10173

LCM of 10168 and 10173 is 103439064

Least common multiple can be found by multiplying the highest exponent prime factors of 10168 and 10173. First we will calculate the prime factors of 10168 and 10173.

Prime Factorization of 10168


2 10168
2 5084
2 2542
31 1271
41 41
1

Prime factors of 10168 are 2, 31,41. Prime factorization of 10168 in exponential form is:

10168 = 23×311×411

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 10168 and 10173.

LCM(10168,10173) = 23×31×311×411×33911
LCM(10168,10173) = 103439064

Factors of 10168

List of positive integer factors of 10168 that divides 10168 without a remainder.

1, 2, 4, 8, 31, 41, 62, 82, 124, 164, 248, 328, 1271, 2542, 5084, 10168

Factors of 10173

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

1, 3, 3391, 10173

Least Common Multiple of 10168 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 10168 and 10173, than apply into the LCM equation.

GCF(10168,10173) = 1
LCM(10168,10173) = ( 10168 × 10173) / 1
LCM(10168,10173) = 103439064 / 1
LCM(10168,10173) = 103439064

Properties of LCM 10168 and 10173

(i) The LCM of 10173 and 10168 is associative

LCM of 10168 and 10173 = LCM of 10173 and 10168

Related Least Common Multiples of 10168

Related Least Common Multiples of 10173

Frequently Asked Questions on LCM of 10168 and 10173

1. What is the LCM of 10168 and 10173?

Answer: LCM of 10168 and 10173 is 103439064.

2. What are the Factors of 10168?

Answer: Factors of 10168 are 1, 2, 4, 8, 31, 41, 62, 82, 124, 164, 248, 328, 1271, 2542, 5084, 10168. There are 16 integers that are factors of 10168. The greatest factor of 10168 is 10168.

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 10168 and 10173?

Answer:

Least Common Multiple of 10168 and 10173 = 103439064

Step 1: Find the prime factorization of 10168

10168 = 2 x 2 x 2 x 31 x 41

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 = 103439064 = 2 x 2 x 2 x 3 x 31 x 41 x 3391

Step 4: Therefore, the least common multiple of 10168 and 10173 is 103439064.