Least Common Multiple of 13085 and 13090
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13085 and 13090 the smallest integer that is 34256530 that is divisible by both numbers.
Least Common Multiple (LCM) of 13085 and 13090 is 34256530.
LCM(13085,13090) = 34256530
LCM of 13085 and 13090
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13085 and 13090 by Prime method
- Least Common Multiple of 13085 and 13090 with GCF Formula
LCM of 13085 and 13090 is 34256530
Least common multiple can be found by multiplying the highest exponent prime factors of 13085 and 13090. First we will calculate the prime factors of 13085 and 13090.
Prime Factorization of 13085
| 5 | 13085 |
| 2617 | 2617 |
| 1 |
Prime factors of 13085 are 5,2617. Prime factorization of 13085 in exponential form is:
13085 = 51×26171
Prime Factorization of 13090
| 2 | 13090 |
| 5 | 6545 |
| 7 | 1309 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 13090 are 2, 5, 7, 11,17. Prime factorization of 13090 in exponential form is:
13090 = 21×51×71×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 13085 and 13090.
LCM(13085,13090) = 21×51×71×111×171×26171
LCM(13085,13090) = 34256530
Factors of 13085
List of positive integer factors of 13085 that divides 13085 without a remainder.
1, 5, 2617, 13085
Factors of 13090
List of positive integer factors of 13090 that divides 13090 without a remainder.
1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 55, 70, 77, 85, 110, 119, 154, 170, 187, 238, 374, 385, 595, 770, 935, 1190, 1309, 1870, 2618, 6545, 13090
Least Common Multiple of 13085 and 13090 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13085 and 13090, than apply into the LCM equation.
GCF(13085,13090) = 5
LCM(13085,13090) = ( 13085 × 13090) / 5
LCM(13085,13090) = 171282650 / 5
LCM(13085,13090) = 34256530
Properties of LCM 13085 and 13090
(i) The LCM of 13090 and 13085 is associative
LCM of 13085 and 13090 = LCM of 13090 and 13085
Related Least Common Multiples of 13085
Related Least Common Multiples of 13090
Frequently Asked Questions on LCM of 13085 and 13090
1. What is the LCM of 13085 and 13090?
Answer: LCM of 13085 and 13090 is 34256530.
2. What are the Factors of 13085?
Answer: Factors of 13085 are 1, 5, 2617, 13085. There are 4 integers that are factors of 13085. The greatest factor of 13085 is 13085.
3. What are the Factors of 13090?
Answer: Factors of 13090 are 1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 55, 70, 77, 85, 110, 119, 154, 170, 187, 238, 374, 385, 595, 770, 935, 1190, 1309, 1870, 2618, 6545, 13090. There are 32 integers that are factors of 13090. The greatest factor of 13090 is 13090.
4. How to Find the LCM of 13085 and 13090?
Answer:
Least Common Multiple of 13085 and 13090 = 34256530
Step 1: Find the prime factorization of 13085
13085 = 5 x 2617
Step 2: Find the prime factorization of 13090
13090 = 2 x 5 x 7 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34256530 = 2 x 5 x 7 x 11 x 17 x 2617
Step 4: Therefore, the least common multiple of 13085 and 13090 is 34256530.