Least Common Multiple of 5118 and 5126

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 5126 the smallest integer that is 13117434 that is divisible by both numbers.

Least Common Multiple (LCM) of 5118 and 5126 is 13117434.

LCM(5118,5126) = 13117434

LCM of 5118 and 5126

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

LCM of:
and

Least Common Multiple of 5118 and 5126

LCM of 5118 and 5126 is 13117434

Least common multiple can be found by multiplying the highest exponent prime factors of 5118 and 5126. First we will calculate the prime factors of 5118 and 5126.

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 5126


2 5126
11 2563
233 233
1

Prime factors of 5126 are 2, 11,233. Prime factorization of 5126 in exponential form is:

5126 = 21×111×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 5118 and 5126.

LCM(5118,5126) = 21×31×111×2331×8531
LCM(5118,5126) = 13117434

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 5126

List of positive integer factors of 5126 that divides 5126 without a remainder.

1, 2, 11, 22, 233, 466, 2563, 5126

Least Common Multiple of 5118 and 5126 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 5126, than apply into the LCM equation.

GCF(5118,5126) = 2
LCM(5118,5126) = ( 5118 × 5126) / 2
LCM(5118,5126) = 26234868 / 2
LCM(5118,5126) = 13117434

Properties of LCM 5118 and 5126

(i) The LCM of 5126 and 5118 is associative

LCM of 5118 and 5126 = LCM of 5126 and 5118

Related Least Common Multiples of 5118

Related Least Common Multiples of 5126

Frequently Asked Questions on LCM of 5118 and 5126

1. What is the LCM of 5118 and 5126?

Answer: LCM of 5118 and 5126 is 13117434.

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 5126?

Answer: Factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126. There are 8 integers that are factors of 5126. The greatest factor of 5126 is 5126.

4. How to Find the LCM of 5118 and 5126?

Answer:

Least Common Multiple of 5118 and 5126 = 13117434

Step 1: Find the prime factorization of 5118

5118 = 2 x 3 x 853

Step 2: Find the prime factorization of 5126

5126 = 2 x 11 x 233

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

LCM = 13117434 = 2 x 3 x 11 x 233 x 853

Step 4: Therefore, the least common multiple of 5118 and 5126 is 13117434.