Least Common Multiple of 7137 and 7145
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7137 and 7145 the smallest integer that is 50993865 that is divisible by both numbers.
Least Common Multiple (LCM) of 7137 and 7145 is 50993865.
LCM(7137,7145) = 50993865
LCM of 7137 and 7145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7137 and 7145 by Prime method
- Least Common Multiple of 7137 and 7145 with GCF Formula
LCM of 7137 and 7145 is 50993865
Least common multiple can be found by multiplying the highest exponent prime factors of 7137 and 7145. First we will calculate the prime factors of 7137 and 7145.
Prime Factorization of 7137
| 3 | 7137 |
| 3 | 2379 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 7137 are 3, 13,61. Prime factorization of 7137 in exponential form is:
7137 = 32×131×611
Prime Factorization of 7145
| 5 | 7145 |
| 1429 | 1429 |
| 1 |
Prime factors of 7145 are 5,1429. Prime factorization of 7145 in exponential form is:
7145 = 51×14291
Now multiplying the highest exponent prime factors to calculate the LCM of 7137 and 7145.
LCM(7137,7145) = 32×51×131×611×14291
LCM(7137,7145) = 50993865
Factors of 7137
List of positive integer factors of 7137 that divides 7137 without a remainder.
1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137
Factors of 7145
List of positive integer factors of 7145 that divides 7145 without a remainder.
1, 5, 1429, 7145
Least Common Multiple of 7137 and 7145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7137 and 7145, than apply into the LCM equation.
GCF(7137,7145) = 1
LCM(7137,7145) = ( 7137 × 7145) / 1
LCM(7137,7145) = 50993865 / 1
LCM(7137,7145) = 50993865
Properties of LCM 7137 and 7145
(i) The LCM of 7145 and 7137 is associative
LCM of 7137 and 7145 = LCM of 7145 and 7137
Related Least Common Multiples of 7137
Related Least Common Multiples of 7145
Frequently Asked Questions on LCM of 7137 and 7145
1. What is the LCM of 7137 and 7145?
Answer: LCM of 7137 and 7145 is 50993865.
2. What are the Factors of 7137?
Answer: Factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137. There are 12 integers that are factors of 7137. The greatest factor of 7137 is 7137.
3. What are the Factors of 7145?
Answer: Factors of 7145 are 1, 5, 1429, 7145. There are 4 integers that are factors of 7145. The greatest factor of 7145 is 7145.
4. How to Find the LCM of 7137 and 7145?
Answer:
Least Common Multiple of 7137 and 7145 = 50993865
Step 1: Find the prime factorization of 7137
7137 = 3 x 3 x 13 x 61
Step 2: Find the prime factorization of 7145
7145 = 5 x 1429
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50993865 = 3 x 3 x 5 x 13 x 61 x 1429
Step 4: Therefore, the least common multiple of 7137 and 7145 is 50993865.