Least Common Multiple of 5162 and 5170

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 5170 the smallest integer that is 13343770 that is divisible by both numbers.

Least Common Multiple (LCM) of 5162 and 5170 is 13343770.

LCM(5162,5170) = 13343770

LCM of 5162 and 5170

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

LCM of:
and

Least Common Multiple of 5162 and 5170

LCM of 5162 and 5170 is 13343770

Least common multiple can be found by multiplying the highest exponent prime factors of 5162 and 5170. First we will calculate the prime factors of 5162 and 5170.

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 5170


2 5170
5 2585
11 517
47 47
1

Prime factors of 5170 are 2, 5, 11,47. Prime factorization of 5170 in exponential form is:

5170 = 21×51×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5162 and 5170.

LCM(5162,5170) = 21×51×111×291×471×891
LCM(5162,5170) = 13343770

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 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170

Least Common Multiple of 5162 and 5170 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 5170, than apply into the LCM equation.

GCF(5162,5170) = 2
LCM(5162,5170) = ( 5162 × 5170) / 2
LCM(5162,5170) = 26687540 / 2
LCM(5162,5170) = 13343770

Properties of LCM 5162 and 5170

(i) The LCM of 5170 and 5162 is associative

LCM of 5162 and 5170 = LCM of 5170 and 5162

Related Least Common Multiples of 5162

Related Least Common Multiples of 5170

Frequently Asked Questions on LCM of 5162 and 5170

1. What is the LCM of 5162 and 5170?

Answer: LCM of 5162 and 5170 is 13343770.

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 5170?

Answer: Factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170. There are 16 integers that are factors of 5170. The greatest factor of 5170 is 5170.

4. How to Find the LCM of 5162 and 5170?

Answer:

Least Common Multiple of 5162 and 5170 = 13343770

Step 1: Find the prime factorization of 5162

5162 = 2 x 29 x 89

Step 2: Find the prime factorization of 5170

5170 = 2 x 5 x 11 x 47

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

LCM = 13343770 = 2 x 5 x 11 x 29 x 47 x 89

Step 4: Therefore, the least common multiple of 5162 and 5170 is 13343770.