Least Common Multiple of 5117 and 5122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5117 and 5122 the smallest integer that is 26209274 that is divisible by both numbers.

Least Common Multiple (LCM) of 5117 and 5122 is 26209274.

LCM(5117,5122) = 26209274

LCM of 5117 and 5122

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

LCM of:
and

Least Common Multiple of 5117 and 5122

LCM of 5117 and 5122 is 26209274

Least common multiple can be found by multiplying the highest exponent prime factors of 5117 and 5122. First we will calculate the prime factors of 5117 and 5122.

Prime Factorization of 5117


7 5117
17 731
43 43
1

Prime factors of 5117 are 7, 17,43. Prime factorization of 5117 in exponential form is:

5117 = 71×171×431

Prime Factorization of 5122


2 5122
13 2561
197 197
1

Prime factors of 5122 are 2, 13,197. Prime factorization of 5122 in exponential form is:

5122 = 21×131×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 5117 and 5122.

LCM(5117,5122) = 21×71×131×171×431×1971
LCM(5117,5122) = 26209274

Factors of 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1, 7, 17, 43, 119, 301, 731, 5117

Factors of 5122

List of positive integer factors of 5122 that divides 5122 without a remainder.

1, 2, 13, 26, 197, 394, 2561, 5122

Least Common Multiple of 5117 and 5122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5117 and 5122, than apply into the LCM equation.

GCF(5117,5122) = 1
LCM(5117,5122) = ( 5117 × 5122) / 1
LCM(5117,5122) = 26209274 / 1
LCM(5117,5122) = 26209274

Properties of LCM 5117 and 5122

(i) The LCM of 5122 and 5117 is associative

LCM of 5117 and 5122 = LCM of 5122 and 5117

Related Least Common Multiples of 5117

Related Least Common Multiples of 5122

Frequently Asked Questions on LCM of 5117 and 5122

1. What is the LCM of 5117 and 5122?

Answer: LCM of 5117 and 5122 is 26209274.

2. What are the Factors of 5117?

Answer: Factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117. There are 8 integers that are factors of 5117. The greatest factor of 5117 is 5117.

3. What are the Factors of 5122?

Answer: Factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122. There are 8 integers that are factors of 5122. The greatest factor of 5122 is 5122.

4. How to Find the LCM of 5117 and 5122?

Answer:

Least Common Multiple of 5117 and 5122 = 26209274

Step 1: Find the prime factorization of 5117

5117 = 7 x 17 x 43

Step 2: Find the prime factorization of 5122

5122 = 2 x 13 x 197

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

LCM = 26209274 = 2 x 7 x 13 x 17 x 43 x 197

Step 4: Therefore, the least common multiple of 5117 and 5122 is 26209274.