Least Common Multiple of 10166 and 10174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10166 and 10174 the smallest integer that is 51714442 that is divisible by both numbers.

Least Common Multiple (LCM) of 10166 and 10174 is 51714442.

LCM(10166,10174) = 51714442

LCM of 10166 and 10174

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

LCM of:
and

Least Common Multiple of 10166 and 10174

LCM of 10166 and 10174 is 51714442

Least common multiple can be found by multiplying the highest exponent prime factors of 10166 and 10174. First we will calculate the prime factors of 10166 and 10174.

Prime Factorization of 10166


2 10166
13 5083
17 391
23 23
1

Prime factors of 10166 are 2, 13, 17,23. Prime factorization of 10166 in exponential form is:

10166 = 21×131×171×231

Prime Factorization of 10174


2 10174
5087 5087
1

Prime factors of 10174 are 2,5087. Prime factorization of 10174 in exponential form is:

10174 = 21×50871

Now multiplying the highest exponent prime factors to calculate the LCM of 10166 and 10174.

LCM(10166,10174) = 21×131×171×231×50871
LCM(10166,10174) = 51714442

Factors of 10166

List of positive integer factors of 10166 that divides 10166 without a remainder.

1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083, 10166

Factors of 10174

List of positive integer factors of 10174 that divides 10174 without a remainder.

1, 2, 5087, 10174

Least Common Multiple of 10166 and 10174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10166 and 10174, than apply into the LCM equation.

GCF(10166,10174) = 2
LCM(10166,10174) = ( 10166 × 10174) / 2
LCM(10166,10174) = 103428884 / 2
LCM(10166,10174) = 51714442

Properties of LCM 10166 and 10174

(i) The LCM of 10174 and 10166 is associative

LCM of 10166 and 10174 = LCM of 10174 and 10166

Related Least Common Multiples of 10166

Related Least Common Multiples of 10174

Frequently Asked Questions on LCM of 10166 and 10174

1. What is the LCM of 10166 and 10174?

Answer: LCM of 10166 and 10174 is 51714442.

2. What are the Factors of 10166?

Answer: Factors of 10166 are 1, 2, 13, 17, 23, 26, 34, 46, 221, 299, 391, 442, 598, 782, 5083, 10166. There are 16 integers that are factors of 10166. The greatest factor of 10166 is 10166.

3. What are the Factors of 10174?

Answer: Factors of 10174 are 1, 2, 5087, 10174. There are 4 integers that are factors of 10174. The greatest factor of 10174 is 10174.

4. How to Find the LCM of 10166 and 10174?

Answer:

Least Common Multiple of 10166 and 10174 = 51714442

Step 1: Find the prime factorization of 10166

10166 = 2 x 13 x 17 x 23

Step 2: Find the prime factorization of 10174

10174 = 2 x 5087

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

LCM = 51714442 = 2 x 13 x 17 x 23 x 5087

Step 4: Therefore, the least common multiple of 10166 and 10174 is 51714442.