Least Common Multiple of 13069 and 13075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13069 and 13075 the smallest integer that is 170877175 that is divisible by both numbers.
Least Common Multiple (LCM) of 13069 and 13075 is 170877175.
LCM(13069,13075) = 170877175
LCM of 13069 and 13075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13069 and 13075 by Prime method
- Least Common Multiple of 13069 and 13075 with GCF Formula
LCM of 13069 and 13075 is 170877175
Least common multiple can be found by multiplying the highest exponent prime factors of 13069 and 13075. First we will calculate the prime factors of 13069 and 13075.
Prime Factorization of 13069
| 7 | 13069 |
| 1867 | 1867 |
| 1 |
Prime factors of 13069 are 7,1867. Prime factorization of 13069 in exponential form is:
13069 = 71×18671
Prime Factorization of 13075
| 5 | 13075 |
| 5 | 2615 |
| 523 | 523 |
| 1 |
Prime factors of 13075 are 5,523. Prime factorization of 13075 in exponential form is:
13075 = 52×5231
Now multiplying the highest exponent prime factors to calculate the LCM of 13069 and 13075.
LCM(13069,13075) = 52×71×5231×18671
LCM(13069,13075) = 170877175
Factors of 13069
List of positive integer factors of 13069 that divides 13069 without a remainder.
1, 7, 1867, 13069
Factors of 13075
List of positive integer factors of 13075 that divides 13075 without a remainder.
1, 5, 25, 523, 2615, 13075
Least Common Multiple of 13069 and 13075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13069 and 13075, than apply into the LCM equation.
GCF(13069,13075) = 1
LCM(13069,13075) = ( 13069 × 13075) / 1
LCM(13069,13075) = 170877175 / 1
LCM(13069,13075) = 170877175
Properties of LCM 13069 and 13075
(i) The LCM of 13075 and 13069 is associative
LCM of 13069 and 13075 = LCM of 13075 and 13069
Related Least Common Multiples of 13069
Related Least Common Multiples of 13075
Frequently Asked Questions on LCM of 13069 and 13075
1. What is the LCM of 13069 and 13075?
Answer: LCM of 13069 and 13075 is 170877175.
2. What are the Factors of 13069?
Answer: Factors of 13069 are 1, 7, 1867, 13069. There are 4 integers that are factors of 13069. The greatest factor of 13069 is 13069.
3. What are the Factors of 13075?
Answer: Factors of 13075 are 1, 5, 25, 523, 2615, 13075. There are 6 integers that are factors of 13075. The greatest factor of 13075 is 13075.
4. How to Find the LCM of 13069 and 13075?
Answer:
Least Common Multiple of 13069 and 13075 = 170877175
Step 1: Find the prime factorization of 13069
13069 = 7 x 1867
Step 2: Find the prime factorization of 13075
13075 = 5 x 5 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 170877175 = 5 x 5 x 7 x 523 x 1867
Step 4: Therefore, the least common multiple of 13069 and 13075 is 170877175.