Least Common Multiple of 5118 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 5118 and 5122 the smallest integer that is 13107198 that is divisible by both numbers.

Least Common Multiple (LCM) of 5118 and 5122 is 13107198.

LCM(5118,5122) = 13107198

LCM of 5118 and 5122

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

LCM of:
and

Least Common Multiple of 5118 and 5122

LCM of 5118 and 5122 is 13107198

Least common multiple can be found by multiplying the highest exponent prime factors of 5118 and 5122. First we will calculate the prime factors of 5118 and 5122.

Prime Factorization of 5118


2 5118
3 2559
853 853
1

Prime factors of 5118 are 2, 3,853. Prime factorization of 5118 in exponential form is:

5118 = 21×31×8531

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 5118 and 5122.

LCM(5118,5122) = 21×31×131×1971×8531
LCM(5118,5122) = 13107198

Factors of 5118

List of positive integer factors of 5118 that divides 5118 without a remainder.

1, 2, 3, 6, 853, 1706, 2559, 5118

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 5118 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 5118 and 5122, than apply into the LCM equation.

GCF(5118,5122) = 2
LCM(5118,5122) = ( 5118 × 5122) / 2
LCM(5118,5122) = 26214396 / 2
LCM(5118,5122) = 13107198

Properties of LCM 5118 and 5122

(i) The LCM of 5122 and 5118 is associative

LCM of 5118 and 5122 = LCM of 5122 and 5118

Related Least Common Multiples of 5118

Related Least Common Multiples of 5122

Frequently Asked Questions on LCM of 5118 and 5122

1. What is the LCM of 5118 and 5122?

Answer: LCM of 5118 and 5122 is 13107198.

2. What are the Factors of 5118?

Answer: Factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118. There are 8 integers that are factors of 5118. The greatest factor of 5118 is 5118.

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 5118 and 5122?

Answer:

Least Common Multiple of 5118 and 5122 = 13107198

Step 1: Find the prime factorization of 5118

5118 = 2 x 3 x 853

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 = 13107198 = 2 x 3 x 13 x 197 x 853

Step 4: Therefore, the least common multiple of 5118 and 5122 is 13107198.