Least Common Multiple of 5110 and 5118

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 5118 the smallest integer that is 13076490 that is divisible by both numbers.

Least Common Multiple (LCM) of 5110 and 5118 is 13076490.

LCM(5110,5118) = 13076490

LCM of 5110 and 5118

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

LCM of:
and

Least Common Multiple of 5110 and 5118

LCM of 5110 and 5118 is 13076490

Least common multiple can be found by multiplying the highest exponent prime factors of 5110 and 5118. First we will calculate the prime factors of 5110 and 5118.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 5110 and 5118.

LCM(5110,5118) = 21×31×51×71×731×8531
LCM(5110,5118) = 13076490

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 5118

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

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

Least Common Multiple of 5110 and 5118 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 5118, than apply into the LCM equation.

GCF(5110,5118) = 2
LCM(5110,5118) = ( 5110 × 5118) / 2
LCM(5110,5118) = 26152980 / 2
LCM(5110,5118) = 13076490

Properties of LCM 5110 and 5118

(i) The LCM of 5118 and 5110 is associative

LCM of 5110 and 5118 = LCM of 5118 and 5110

Related Least Common Multiples of 5110

Related Least Common Multiples of 5118

Frequently Asked Questions on LCM of 5110 and 5118

1. What is the LCM of 5110 and 5118?

Answer: LCM of 5110 and 5118 is 13076490.

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 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.

4. How to Find the LCM of 5110 and 5118?

Answer:

Least Common Multiple of 5110 and 5118 = 13076490

Step 1: Find the prime factorization of 5110

5110 = 2 x 5 x 7 x 73

Step 2: Find the prime factorization of 5118

5118 = 2 x 3 x 853

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

LCM = 13076490 = 2 x 3 x 5 x 7 x 73 x 853

Step 4: Therefore, the least common multiple of 5110 and 5118 is 13076490.