Least Common Multiple of 10162 and 10166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10162 and 10166 the smallest integer that is 51653446 that is divisible by both numbers.

Least Common Multiple (LCM) of 10162 and 10166 is 51653446.

LCM(10162,10166) = 51653446

LCM of 10162 and 10166

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

LCM of:
and

Least Common Multiple of 10162 and 10166

LCM of 10162 and 10166 is 51653446

Least common multiple can be found by multiplying the highest exponent prime factors of 10162 and 10166. First we will calculate the prime factors of 10162 and 10166.

Prime Factorization of 10162


2 10162
5081 5081
1

Prime factors of 10162 are 2,5081. Prime factorization of 10162 in exponential form is:

10162 = 21×50811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10162 and 10166.

LCM(10162,10166) = 21×131×171×231×50811
LCM(10162,10166) = 51653446

Factors of 10162

List of positive integer factors of 10162 that divides 10162 without a remainder.

1, 2, 5081, 10162

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

Least Common Multiple of 10162 and 10166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10162 and 10166, than apply into the LCM equation.

GCF(10162,10166) = 2
LCM(10162,10166) = ( 10162 × 10166) / 2
LCM(10162,10166) = 103306892 / 2
LCM(10162,10166) = 51653446

Properties of LCM 10162 and 10166

(i) The LCM of 10166 and 10162 is associative

LCM of 10162 and 10166 = LCM of 10166 and 10162

Related Least Common Multiples of 10162

Related Least Common Multiples of 10166

Frequently Asked Questions on LCM of 10162 and 10166

1. What is the LCM of 10162 and 10166?

Answer: LCM of 10162 and 10166 is 51653446.

2. What are the Factors of 10162?

Answer: Factors of 10162 are 1, 2, 5081, 10162. There are 4 integers that are factors of 10162. The greatest factor of 10162 is 10162.

3. 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.

4. How to Find the LCM of 10162 and 10166?

Answer:

Least Common Multiple of 10162 and 10166 = 51653446

Step 1: Find the prime factorization of 10162

10162 = 2 x 5081

Step 2: Find the prime factorization of 10166

10166 = 2 x 13 x 17 x 23

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

LCM = 51653446 = 2 x 13 x 17 x 23 x 5081

Step 4: Therefore, the least common multiple of 10162 and 10166 is 51653446.