Least Common Multiple of 5104 and 5110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5104 and 5110 the smallest integer that is 13040720 that is divisible by both numbers.

Least Common Multiple (LCM) of 5104 and 5110 is 13040720.

LCM(5104,5110) = 13040720

LCM of 5104 and 5110

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

LCM of:
and

Least Common Multiple of 5104 and 5110

LCM of 5104 and 5110 is 13040720

Least common multiple can be found by multiplying the highest exponent prime factors of 5104 and 5110. First we will calculate the prime factors of 5104 and 5110.

Prime Factorization of 5104


2 5104
2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 5104 are 2, 11,29. Prime factorization of 5104 in exponential form is:

5104 = 24×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5104 and 5110.

LCM(5104,5110) = 24×51×71×111×291×731
LCM(5104,5110) = 13040720

Factors of 5104

List of positive integer factors of 5104 that divides 5104 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104

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

Least Common Multiple of 5104 and 5110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5104 and 5110, than apply into the LCM equation.

GCF(5104,5110) = 2
LCM(5104,5110) = ( 5104 × 5110) / 2
LCM(5104,5110) = 26081440 / 2
LCM(5104,5110) = 13040720

Properties of LCM 5104 and 5110

(i) The LCM of 5110 and 5104 is associative

LCM of 5104 and 5110 = LCM of 5110 and 5104

Related Least Common Multiples of 5104

Related Least Common Multiples of 5110

Frequently Asked Questions on LCM of 5104 and 5110

1. What is the LCM of 5104 and 5110?

Answer: LCM of 5104 and 5110 is 13040720.

2. What are the Factors of 5104?

Answer: Factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104. There are 20 integers that are factors of 5104. The greatest factor of 5104 is 5104.

3. 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.

4. How to Find the LCM of 5104 and 5110?

Answer:

Least Common Multiple of 5104 and 5110 = 13040720

Step 1: Find the prime factorization of 5104

5104 = 2 x 2 x 2 x 2 x 11 x 29

Step 2: Find the prime factorization of 5110

5110 = 2 x 5 x 7 x 73

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

LCM = 13040720 = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 29 x 73

Step 4: Therefore, the least common multiple of 5104 and 5110 is 13040720.