Least Common Multiple of 5156 and 5162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5156 and 5162 the smallest integer that is 13307636 that is divisible by both numbers.

Least Common Multiple (LCM) of 5156 and 5162 is 13307636.

LCM(5156,5162) = 13307636

LCM of 5156 and 5162

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

LCM of:
and

Least Common Multiple of 5156 and 5162

LCM of 5156 and 5162 is 13307636

Least common multiple can be found by multiplying the highest exponent prime factors of 5156 and 5162. First we will calculate the prime factors of 5156 and 5162.

Prime Factorization of 5156


2 5156
2 2578
1289 1289
1

Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:

5156 = 22×12891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5156 and 5162.

LCM(5156,5162) = 22×291×891×12891
LCM(5156,5162) = 13307636

Factors of 5156

List of positive integer factors of 5156 that divides 5156 without a remainder.

1, 2, 4, 1289, 2578, 5156

Factors of 5162

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

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

Least Common Multiple of 5156 and 5162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5156 and 5162, than apply into the LCM equation.

GCF(5156,5162) = 2
LCM(5156,5162) = ( 5156 × 5162) / 2
LCM(5156,5162) = 26615272 / 2
LCM(5156,5162) = 13307636

Properties of LCM 5156 and 5162

(i) The LCM of 5162 and 5156 is associative

LCM of 5156 and 5162 = LCM of 5162 and 5156

Related Least Common Multiples of 5156

Related Least Common Multiples of 5162

Frequently Asked Questions on LCM of 5156 and 5162

1. What is the LCM of 5156 and 5162?

Answer: LCM of 5156 and 5162 is 13307636.

2. What are the Factors of 5156?

Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.

3. 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.

4. How to Find the LCM of 5156 and 5162?

Answer:

Least Common Multiple of 5156 and 5162 = 13307636

Step 1: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

Step 2: Find the prime factorization of 5162

5162 = 2 x 29 x 89

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

LCM = 13307636 = 2 x 2 x 29 x 89 x 1289

Step 4: Therefore, the least common multiple of 5156 and 5162 is 13307636.