Least Common Multiple of 36125 and 36129
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 36129 the smallest integer that is 1305160125 that is divisible by both numbers.
Least Common Multiple (LCM) of 36125 and 36129 is 1305160125.
LCM(36125,36129) = 1305160125
LCM of 36125 and 36129
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36125 and 36129 by Prime method
- Least Common Multiple of 36125 and 36129 with GCF Formula
LCM of 36125 and 36129 is 1305160125
Least common multiple can be found by multiplying the highest exponent prime factors of 36125 and 36129. First we will calculate the prime factors of 36125 and 36129.
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 36129
| 3 | 36129 |
| 12043 | 12043 |
| 1 |
Prime factors of 36129 are 3,12043. Prime factorization of 36129 in exponential form is:
36129 = 31×120431
Now multiplying the highest exponent prime factors to calculate the LCM of 36125 and 36129.
LCM(36125,36129) = 31×53×172×120431
LCM(36125,36129) = 1305160125
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 36129
List of positive integer factors of 36129 that divides 36129 without a remainder.
1, 3, 12043, 36129
Least Common Multiple of 36125 and 36129 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 36129, than apply into the LCM equation.
GCF(36125,36129) = 1
LCM(36125,36129) = ( 36125 × 36129) / 1
LCM(36125,36129) = 1305160125 / 1
LCM(36125,36129) = 1305160125
Properties of LCM 36125 and 36129
(i) The LCM of 36129 and 36125 is associative
LCM of 36125 and 36129 = LCM of 36129 and 36125
Related Least Common Multiples of 36125
Related Least Common Multiples of 36129
Frequently Asked Questions on LCM of 36125 and 36129
1. What is the LCM of 36125 and 36129?
Answer: LCM of 36125 and 36129 is 1305160125.
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 36129?
Answer: Factors of 36129 are 1, 3, 12043, 36129. There are 4 integers that are factors of 36129. The greatest factor of 36129 is 36129.
4. How to Find the LCM of 36125 and 36129?
Answer:
Least Common Multiple of 36125 and 36129 = 1305160125
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 36129
36129 = 3 x 12043
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1305160125 = 3 x 5 x 5 x 5 x 17 x 17 x 12043
Step 4: Therefore, the least common multiple of 36125 and 36129 is 1305160125.