Least Common Multiple of 13075 and 13083
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13075 and 13083 the smallest integer that is 171060225 that is divisible by both numbers.
Least Common Multiple (LCM) of 13075 and 13083 is 171060225.
LCM(13075,13083) = 171060225
LCM of 13075 and 13083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13075 and 13083 by Prime method
- Least Common Multiple of 13075 and 13083 with GCF Formula
LCM of 13075 and 13083 is 171060225
Least common multiple can be found by multiplying the highest exponent prime factors of 13075 and 13083. First we will calculate the prime factors of 13075 and 13083.
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
Prime Factorization of 13083
| 3 | 13083 |
| 7 | 4361 |
| 7 | 623 |
| 89 | 89 |
| 1 |
Prime factors of 13083 are 3, 7,89. Prime factorization of 13083 in exponential form is:
13083 = 31×72×891
Now multiplying the highest exponent prime factors to calculate the LCM of 13075 and 13083.
LCM(13075,13083) = 31×52×72×891×5231
LCM(13075,13083) = 171060225
Factors of 13075
List of positive integer factors of 13075 that divides 13075 without a remainder.
1, 5, 25, 523, 2615, 13075
Factors of 13083
List of positive integer factors of 13083 that divides 13083 without a remainder.
1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361, 13083
Least Common Multiple of 13075 and 13083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13075 and 13083, than apply into the LCM equation.
GCF(13075,13083) = 1
LCM(13075,13083) = ( 13075 × 13083) / 1
LCM(13075,13083) = 171060225 / 1
LCM(13075,13083) = 171060225
Properties of LCM 13075 and 13083
(i) The LCM of 13083 and 13075 is associative
LCM of 13075 and 13083 = LCM of 13083 and 13075
Related Least Common Multiples of 13075
Related Least Common Multiples of 13083
Frequently Asked Questions on LCM of 13075 and 13083
1. What is the LCM of 13075 and 13083?
Answer: LCM of 13075 and 13083 is 171060225.
2. 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.
3. What are the Factors of 13083?
Answer: Factors of 13083 are 1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361, 13083. There are 12 integers that are factors of 13083. The greatest factor of 13083 is 13083.
4. How to Find the LCM of 13075 and 13083?
Answer:
Least Common Multiple of 13075 and 13083 = 171060225
Step 1: Find the prime factorization of 13075
13075 = 5 x 5 x 523
Step 2: Find the prime factorization of 13083
13083 = 3 x 7 x 7 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 171060225 = 3 x 5 x 5 x 7 x 7 x 89 x 523
Step 4: Therefore, the least common multiple of 13075 and 13083 is 171060225.