Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5098 and 5104 the smallest integer that is 13010096 that is divisible by both numbers.
Least Common Multiple (LCM) of 5098 and 5104 is 13010096.
LCM(5098,5104) = 13010096
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5098 and 5104. First we will calculate the prime factors of 5098 and 5104.
Prime Factorization of 5098
2 | 5098 |
2549 | 2549 |
1 |
Prime factors of 5098 are 2,2549. Prime factorization of 5098 in exponential form is:
5098 = 21×25491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5098 and 5104.
LCM(5098,5104) = 24×111×291×25491
LCM(5098,5104) = 13010096
Factors of 5098
List of positive integer factors of 5098 that divides 5098 without a remainder.
1, 2, 2549, 5098
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5098 and 5104, than apply into the LCM equation.
GCF(5098,5104) = 2
LCM(5098,5104) = ( 5098 × 5104) / 2
LCM(5098,5104) = 26020192 / 2
LCM(5098,5104) = 13010096
(i) The LCM of 5104 and 5098 is associative
LCM of 5098 and 5104 = LCM of 5104 and 5098
1. What is the LCM of 5098 and 5104?
Answer: LCM of 5098 and 5104 is 13010096.
2. What are the Factors of 5098?
Answer: Factors of 5098 are 1, 2, 2549, 5098. There are 4 integers that are factors of 5098. The greatest factor of 5098 is 5098.
3. 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.
4. How to Find the LCM of 5098 and 5104?
Answer:
Least Common Multiple of 5098 and 5104 = 13010096
Step 1: Find the prime factorization of 5098
5098 = 2 x 2549
Step 2: Find the prime factorization of 5104
5104 = 2 x 2 x 2 x 2 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13010096 = 2 x 2 x 2 x 2 x 11 x 29 x 2549
Step 4: Therefore, the least common multiple of 5098 and 5104 is 13010096.