Least Common Multiple of 13081 and 13085
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13081 and 13085 the smallest integer that is 171164885 that is divisible by both numbers.
Least Common Multiple (LCM) of 13081 and 13085 is 171164885.
LCM(13081,13085) = 171164885
LCM of 13081 and 13085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13081 and 13085 by Prime method
- Least Common Multiple of 13081 and 13085 with GCF Formula
LCM of 13081 and 13085 is 171164885
Least common multiple can be found by multiplying the highest exponent prime factors of 13081 and 13085. First we will calculate the prime factors of 13081 and 13085.
Prime Factorization of 13081
| 103 | 13081 |
| 127 | 127 |
| 1 |
Prime factors of 13081 are 103,127. Prime factorization of 13081 in exponential form is:
13081 = 1031×1271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 13081 and 13085.
LCM(13081,13085) = 51×1031×1271×26171
LCM(13081,13085) = 171164885
Factors of 13081
List of positive integer factors of 13081 that divides 13081 without a remainder.
1, 103, 127, 13081
Factors of 13085
List of positive integer factors of 13085 that divides 13085 without a remainder.
1, 5, 2617, 13085
Least Common Multiple of 13081 and 13085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13081 and 13085, than apply into the LCM equation.
GCF(13081,13085) = 1
LCM(13081,13085) = ( 13081 × 13085) / 1
LCM(13081,13085) = 171164885 / 1
LCM(13081,13085) = 171164885
Properties of LCM 13081 and 13085
(i) The LCM of 13085 and 13081 is associative
LCM of 13081 and 13085 = LCM of 13085 and 13081
Related Least Common Multiples of 13081
Related Least Common Multiples of 13085
Frequently Asked Questions on LCM of 13081 and 13085
1. What is the LCM of 13081 and 13085?
Answer: LCM of 13081 and 13085 is 171164885.
2. What are the Factors of 13081?
Answer: Factors of 13081 are 1, 103, 127, 13081. There are 4 integers that are factors of 13081. The greatest factor of 13081 is 13081.
3. 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.
4. How to Find the LCM of 13081 and 13085?
Answer:
Least Common Multiple of 13081 and 13085 = 171164885
Step 1: Find the prime factorization of 13081
13081 = 103 x 127
Step 2: Find the prime factorization of 13085
13085 = 5 x 2617
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 171164885 = 5 x 103 x 127 x 2617
Step 4: Therefore, the least common multiple of 13081 and 13085 is 171164885.