Least Common Multiple of 36129 and 36137
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36129 and 36137 the smallest integer that is 1305593673 that is divisible by both numbers.
Least Common Multiple (LCM) of 36129 and 36137 is 1305593673.
LCM(36129,36137) = 1305593673
LCM of 36129 and 36137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36129 and 36137 by Prime method
- Least Common Multiple of 36129 and 36137 with GCF Formula
LCM of 36129 and 36137 is 1305593673
Least common multiple can be found by multiplying the highest exponent prime factors of 36129 and 36137. First we will calculate the prime factors of 36129 and 36137.
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
Prime Factorization of 36137
| 36137 | 36137 |
| 1 |
Prime factors of 36137 are 36137. Prime factorization of 36137 in exponential form is:
36137 = 361371
Now multiplying the highest exponent prime factors to calculate the LCM of 36129 and 36137.
LCM(36129,36137) = 31×120431×361371
LCM(36129,36137) = 1305593673
Factors of 36129
List of positive integer factors of 36129 that divides 36129 without a remainder.
1, 3, 12043, 36129
Factors of 36137
List of positive integer factors of 36137 that divides 36137 without a remainder.
1, 36137
Least Common Multiple of 36129 and 36137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36129 and 36137, than apply into the LCM equation.
GCF(36129,36137) = 1
LCM(36129,36137) = ( 36129 × 36137) / 1
LCM(36129,36137) = 1305593673 / 1
LCM(36129,36137) = 1305593673
Properties of LCM 36129 and 36137
(i) The LCM of 36137 and 36129 is associative
LCM of 36129 and 36137 = LCM of 36137 and 36129
Related Least Common Multiples of 36129
Related Least Common Multiples of 36137
Frequently Asked Questions on LCM of 36129 and 36137
1. What is the LCM of 36129 and 36137?
Answer: LCM of 36129 and 36137 is 1305593673.
2. 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.
3. What are the Factors of 36137?
Answer: Factors of 36137 are 1, 36137. There are 2 integers that are factors of 36137. The greatest factor of 36137 is 36137.
4. How to Find the LCM of 36129 and 36137?
Answer:
Least Common Multiple of 36129 and 36137 = 1305593673
Step 1: Find the prime factorization of 36129
36129 = 3 x 12043
Step 2: Find the prime factorization of 36137
36137 = 36137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1305593673 = 3 x 12043 x 36137
Step 4: Therefore, the least common multiple of 36129 and 36137 is 1305593673.