Least Common Multiple of 36125 and 36131
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36125 and 36131 the smallest integer that is 1305232375 that is divisible by both numbers.
Least Common Multiple (LCM) of 36125 and 36131 is 1305232375.
LCM(36125,36131) = 1305232375
LCM of 36125 and 36131
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36125 and 36131 by Prime method
- Least Common Multiple of 36125 and 36131 with GCF Formula
LCM of 36125 and 36131 is 1305232375
Least common multiple can be found by multiplying the highest exponent prime factors of 36125 and 36131. First we will calculate the prime factors of 36125 and 36131.
Prime Factorization of 36125
| 5 | 36125 |
| 5 | 7225 |
| 5 | 1445 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 36125 are 5,17. Prime factorization of 36125 in exponential form is:
36125 = 53×172
Prime Factorization of 36131
| 36131 | 36131 |
| 1 |
Prime factors of 36131 are 36131. Prime factorization of 36131 in exponential form is:
36131 = 361311
Now multiplying the highest exponent prime factors to calculate the LCM of 36125 and 36131.
LCM(36125,36131) = 53×172×361311
LCM(36125,36131) = 1305232375
Factors of 36125
List of positive integer factors of 36125 that divides 36125 without a remainder.
1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125
Factors of 36131
List of positive integer factors of 36131 that divides 36131 without a remainder.
1, 36131
Least Common Multiple of 36125 and 36131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36125 and 36131, than apply into the LCM equation.
GCF(36125,36131) = 1
LCM(36125,36131) = ( 36125 × 36131) / 1
LCM(36125,36131) = 1305232375 / 1
LCM(36125,36131) = 1305232375
Properties of LCM 36125 and 36131
(i) The LCM of 36131 and 36125 is associative
LCM of 36125 and 36131 = LCM of 36131 and 36125
Related Least Common Multiples of 36125
Related Least Common Multiples of 36131
Frequently Asked Questions on LCM of 36125 and 36131
1. What is the LCM of 36125 and 36131?
Answer: LCM of 36125 and 36131 is 1305232375.
2. What are the Factors of 36125?
Answer: Factors of 36125 are 1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125. There are 12 integers that are factors of 36125. The greatest factor of 36125 is 36125.
3. What are the Factors of 36131?
Answer: Factors of 36131 are 1, 36131. There are 2 integers that are factors of 36131. The greatest factor of 36131 is 36131.
4. How to Find the LCM of 36125 and 36131?
Answer:
Least Common Multiple of 36125 and 36131 = 1305232375
Step 1: Find the prime factorization of 36125
36125 = 5 x 5 x 5 x 17 x 17
Step 2: Find the prime factorization of 36131
36131 = 36131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1305232375 = 5 x 5 x 5 x 17 x 17 x 36131
Step 4: Therefore, the least common multiple of 36125 and 36131 is 1305232375.