Least Common Multiple of 5157 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 5157 and 5162 the smallest integer that is 26620434 that is divisible by both numbers.

Least Common Multiple (LCM) of 5157 and 5162 is 26620434.

LCM(5157,5162) = 26620434

LCM of 5157 and 5162

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

LCM of:
and

Least Common Multiple of 5157 and 5162

LCM of 5157 and 5162 is 26620434

Least common multiple can be found by multiplying the highest exponent prime factors of 5157 and 5162. First we will calculate the prime factors of 5157 and 5162.

Prime Factorization of 5157


3 5157
3 1719
3 573
191 191
1

Prime factors of 5157 are 3,191. Prime factorization of 5157 in exponential form is:

5157 = 33×1911

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 5157 and 5162.

LCM(5157,5162) = 21×33×291×891×1911
LCM(5157,5162) = 26620434

Factors of 5157

List of positive integer factors of 5157 that divides 5157 without a remainder.

1, 3, 9, 27, 191, 573, 1719, 5157

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 5157 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 5157 and 5162, than apply into the LCM equation.

GCF(5157,5162) = 1
LCM(5157,5162) = ( 5157 × 5162) / 1
LCM(5157,5162) = 26620434 / 1
LCM(5157,5162) = 26620434

Properties of LCM 5157 and 5162

(i) The LCM of 5162 and 5157 is associative

LCM of 5157 and 5162 = LCM of 5162 and 5157

Related Least Common Multiples of 5157

Related Least Common Multiples of 5162

Frequently Asked Questions on LCM of 5157 and 5162

1. What is the LCM of 5157 and 5162?

Answer: LCM of 5157 and 5162 is 26620434.

2. What are the Factors of 5157?

Answer: Factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157. There are 8 integers that are factors of 5157. The greatest factor of 5157 is 5157.

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 5157 and 5162?

Answer:

Least Common Multiple of 5157 and 5162 = 26620434

Step 1: Find the prime factorization of 5157

5157 = 3 x 3 x 3 x 191

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 = 26620434 = 2 x 3 x 3 x 3 x 29 x 89 x 191

Step 4: Therefore, the least common multiple of 5157 and 5162 is 26620434.