Least Common Multiple of 5110 and 5117
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 5117 the smallest integer that is 3735410 that is divisible by both numbers.
Least Common Multiple (LCM) of 5110 and 5117 is 3735410.
LCM(5110,5117) = 3735410
LCM of 5110 and 5117
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5110 and 5117 by Prime method
- Least Common Multiple of 5110 and 5117 with GCF Formula
LCM of 5110 and 5117 is 3735410
Least common multiple can be found by multiplying the highest exponent prime factors of 5110 and 5117. First we will calculate the prime factors of 5110 and 5117.
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 5117
| 7 | 5117 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 5117 are 7, 17,43. Prime factorization of 5117 in exponential form is:
5117 = 71×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 5110 and 5117.
LCM(5110,5117) = 21×51×71×171×431×731
LCM(5110,5117) = 3735410
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 5117
List of positive integer factors of 5117 that divides 5117 without a remainder.
1, 7, 17, 43, 119, 301, 731, 5117
Least Common Multiple of 5110 and 5117 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 5117, than apply into the LCM equation.
GCF(5110,5117) = 7
LCM(5110,5117) = ( 5110 × 5117) / 7
LCM(5110,5117) = 26147870 / 7
LCM(5110,5117) = 3735410
Properties of LCM 5110 and 5117
(i) The LCM of 5117 and 5110 is associative
LCM of 5110 and 5117 = LCM of 5117 and 5110
Related Least Common Multiples of 5110
Related Least Common Multiples of 5117
Frequently Asked Questions on LCM of 5110 and 5117
1. What is the LCM of 5110 and 5117?
Answer: LCM of 5110 and 5117 is 3735410.
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 5117?
Answer: Factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117. There are 8 integers that are factors of 5117. The greatest factor of 5117 is 5117.
4. How to Find the LCM of 5110 and 5117?
Answer:
Least Common Multiple of 5110 and 5117 = 3735410
Step 1: Find the prime factorization of 5110
5110 = 2 x 5 x 7 x 73
Step 2: Find the prime factorization of 5117
5117 = 7 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3735410 = 2 x 5 x 7 x 17 x 43 x 73
Step 4: Therefore, the least common multiple of 5110 and 5117 is 3735410.