Least Common Multiple of 5162 and 5166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5162 and 5166 the smallest integer that is 13333446 that is divisible by both numbers.

Least Common Multiple (LCM) of 5162 and 5166 is 13333446.

LCM(5162,5166) = 13333446

LCM of 5162 and 5166

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

LCM of:
and

Least Common Multiple of 5162 and 5166

LCM of 5162 and 5166 is 13333446

Least common multiple can be found by multiplying the highest exponent prime factors of 5162 and 5166. First we will calculate the prime factors of 5162 and 5166.

Prime Factorization of 5162


2 5162
29 2581
89 89
1

Prime factors of 5162 are 2, 29,89. Prime factorization of 5162 in exponential form is:

5162 = 21×291×891

Prime Factorization of 5166


2 5166
3 2583
3 861
7 287
41 41
1

Prime factors of 5166 are 2, 3, 7,41. Prime factorization of 5166 in exponential form is:

5166 = 21×32×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5162 and 5166.

LCM(5162,5166) = 21×32×71×291×411×891
LCM(5162,5166) = 13333446

Factors of 5162

List of positive integer factors of 5162 that divides 5162 without a remainder.

1, 2, 29, 58, 89, 178, 2581, 5162

Factors of 5166

List of positive integer factors of 5166 that divides 5166 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166

Least Common Multiple of 5162 and 5166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5162 and 5166, than apply into the LCM equation.

GCF(5162,5166) = 2
LCM(5162,5166) = ( 5162 × 5166) / 2
LCM(5162,5166) = 26666892 / 2
LCM(5162,5166) = 13333446

Properties of LCM 5162 and 5166

(i) The LCM of 5166 and 5162 is associative

LCM of 5162 and 5166 = LCM of 5166 and 5162

Related Least Common Multiples of 5162

Related Least Common Multiples of 5166

Frequently Asked Questions on LCM of 5162 and 5166

1. What is the LCM of 5162 and 5166?

Answer: LCM of 5162 and 5166 is 13333446.

2. What are the Factors of 5162?

Answer: Factors of 5162 are 1, 2, 29, 58, 89, 178, 2581, 5162. There are 8 integers that are factors of 5162. The greatest factor of 5162 is 5162.

3. What are the Factors of 5166?

Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.

4. How to Find the LCM of 5162 and 5166?

Answer:

Least Common Multiple of 5162 and 5166 = 13333446

Step 1: Find the prime factorization of 5162

5162 = 2 x 29 x 89

Step 2: Find the prime factorization of 5166

5166 = 2 x 3 x 3 x 7 x 41

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

LCM = 13333446 = 2 x 3 x 3 x 7 x 29 x 41 x 89

Step 4: Therefore, the least common multiple of 5162 and 5166 is 13333446.