Least Common Multiple of 5110 and 5116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5110 and 5116 the smallest integer that is 13071380 that is divisible by both numbers.

Least Common Multiple (LCM) of 5110 and 5116 is 13071380.

LCM(5110,5116) = 13071380

LCM of 5110 and 5116

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

LCM of:
and

Least Common Multiple of 5110 and 5116

LCM of 5110 and 5116 is 13071380

Least common multiple can be found by multiplying the highest exponent prime factors of 5110 and 5116. First we will calculate the prime factors of 5110 and 5116.

Prime Factorization of 5110


2 5110
5 2555
7 511
73 73
1

Prime factors of 5110 are 2, 5, 7,73. Prime factorization of 5110 in exponential form is:

5110 = 21×51×71×731

Prime Factorization of 5116


2 5116
2 2558
1279 1279
1

Prime factors of 5116 are 2,1279. Prime factorization of 5116 in exponential form is:

5116 = 22×12791

Now multiplying the highest exponent prime factors to calculate the LCM of 5110 and 5116.

LCM(5110,5116) = 22×51×71×731×12791
LCM(5110,5116) = 13071380

Factors of 5110

List of positive integer factors of 5110 that divides 5110 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1, 2, 4, 1279, 2558, 5116

Least Common Multiple of 5110 and 5116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5110 and 5116, than apply into the LCM equation.

GCF(5110,5116) = 2
LCM(5110,5116) = ( 5110 × 5116) / 2
LCM(5110,5116) = 26142760 / 2
LCM(5110,5116) = 13071380

Properties of LCM 5110 and 5116

(i) The LCM of 5116 and 5110 is associative

LCM of 5110 and 5116 = LCM of 5116 and 5110

Related Least Common Multiples of 5110

Related Least Common Multiples of 5116

Frequently Asked Questions on LCM of 5110 and 5116

1. What is the LCM of 5110 and 5116?

Answer: LCM of 5110 and 5116 is 13071380.

2. What are the Factors of 5110?

Answer: Factors of 5110 are 1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110. There are 16 integers that are factors of 5110. The greatest factor of 5110 is 5110.

3. What are the Factors of 5116?

Answer: Factors of 5116 are 1, 2, 4, 1279, 2558, 5116. There are 6 integers that are factors of 5116. The greatest factor of 5116 is 5116.

4. How to Find the LCM of 5110 and 5116?

Answer:

Least Common Multiple of 5110 and 5116 = 13071380

Step 1: Find the prime factorization of 5110

5110 = 2 x 5 x 7 x 73

Step 2: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

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

LCM = 13071380 = 2 x 2 x 5 x 7 x 73 x 1279

Step 4: Therefore, the least common multiple of 5110 and 5116 is 13071380.