Least Common Multiple of 10067 and 10075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10067 and 10075 the smallest integer that is 101425025 that is divisible by both numbers.
Least Common Multiple (LCM) of 10067 and 10075 is 101425025.
LCM(10067,10075) = 101425025
LCM of 10067 and 10075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10067 and 10075 by Prime method
- Least Common Multiple of 10067 and 10075 with GCF Formula
LCM of 10067 and 10075 is 101425025
Least common multiple can be found by multiplying the highest exponent prime factors of 10067 and 10075. First we will calculate the prime factors of 10067 and 10075.
Prime Factorization of 10067
| 10067 | 10067 |
| 1 |
Prime factors of 10067 are 10067. Prime factorization of 10067 in exponential form is:
10067 = 100671
Prime Factorization of 10075
| 5 | 10075 |
| 5 | 2015 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 10075 are 5, 13,31. Prime factorization of 10075 in exponential form is:
10075 = 52×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 10067 and 10075.
LCM(10067,10075) = 52×131×311×100671
LCM(10067,10075) = 101425025
Factors of 10067
List of positive integer factors of 10067 that divides 10067 without a remainder.
1, 10067
Factors of 10075
List of positive integer factors of 10075 that divides 10075 without a remainder.
1, 5, 13, 25, 31, 65, 155, 325, 403, 775, 2015, 10075
Least Common Multiple of 10067 and 10075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10067 and 10075, than apply into the LCM equation.
GCF(10067,10075) = 1
LCM(10067,10075) = ( 10067 × 10075) / 1
LCM(10067,10075) = 101425025 / 1
LCM(10067,10075) = 101425025
Properties of LCM 10067 and 10075
(i) The LCM of 10075 and 10067 is associative
LCM of 10067 and 10075 = LCM of 10075 and 10067
Related Least Common Multiples of 10067
Related Least Common Multiples of 10075
Frequently Asked Questions on LCM of 10067 and 10075
1. What is the LCM of 10067 and 10075?
Answer: LCM of 10067 and 10075 is 101425025.
2. What are the Factors of 10067?
Answer: Factors of 10067 are 1, 10067. There are 2 integers that are factors of 10067. The greatest factor of 10067 is 10067.
3. What are the Factors of 10075?
Answer: Factors of 10075 are 1, 5, 13, 25, 31, 65, 155, 325, 403, 775, 2015, 10075. There are 12 integers that are factors of 10075. The greatest factor of 10075 is 10075.
4. How to Find the LCM of 10067 and 10075?
Answer:
Least Common Multiple of 10067 and 10075 = 101425025
Step 1: Find the prime factorization of 10067
10067 = 10067
Step 2: Find the prime factorization of 10075
10075 = 5 x 5 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101425025 = 5 x 5 x 13 x 31 x 10067
Step 4: Therefore, the least common multiple of 10067 and 10075 is 101425025.