Least Common Multiple of 5104 and 5109

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 5109 the smallest integer that is 26076336 that is divisible by both numbers.

Least Common Multiple (LCM) of 5104 and 5109 is 26076336.

LCM(5104,5109) = 26076336

LCM of 5104 and 5109

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

LCM of:
and

Least Common Multiple of 5104 and 5109

LCM of 5104 and 5109 is 26076336

Least common multiple can be found by multiplying the highest exponent prime factors of 5104 and 5109. First we will calculate the prime factors of 5104 and 5109.

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 5109


3 5109
13 1703
131 131
1

Prime factors of 5109 are 3, 13,131. Prime factorization of 5109 in exponential form is:

5109 = 31×131×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5104 and 5109.

LCM(5104,5109) = 24×31×111×131×291×1311
LCM(5104,5109) = 26076336

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 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1, 3, 13, 39, 131, 393, 1703, 5109

Least Common Multiple of 5104 and 5109 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 5109, than apply into the LCM equation.

GCF(5104,5109) = 1
LCM(5104,5109) = ( 5104 × 5109) / 1
LCM(5104,5109) = 26076336 / 1
LCM(5104,5109) = 26076336

Properties of LCM 5104 and 5109

(i) The LCM of 5109 and 5104 is associative

LCM of 5104 and 5109 = LCM of 5109 and 5104

Related Least Common Multiples of 5104

Related Least Common Multiples of 5109

Frequently Asked Questions on LCM of 5104 and 5109

1. What is the LCM of 5104 and 5109?

Answer: LCM of 5104 and 5109 is 26076336.

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 5109?

Answer: Factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109. There are 8 integers that are factors of 5109. The greatest factor of 5109 is 5109.

4. How to Find the LCM of 5104 and 5109?

Answer:

Least Common Multiple of 5104 and 5109 = 26076336

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 5109

5109 = 3 x 13 x 131

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

LCM = 26076336 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 29 x 131

Step 4: Therefore, the least common multiple of 5104 and 5109 is 26076336.