Least Common Multiple of 36315 and 36323
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36315 and 36323 the smallest integer that is 1319069745 that is divisible by both numbers.
Least Common Multiple (LCM) of 36315 and 36323 is 1319069745.
LCM(36315,36323) = 1319069745
LCM of 36315 and 36323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36315 and 36323 by Prime method
- Least Common Multiple of 36315 and 36323 with GCF Formula
LCM of 36315 and 36323 is 1319069745
Least common multiple can be found by multiplying the highest exponent prime factors of 36315 and 36323. First we will calculate the prime factors of 36315 and 36323.
Prime Factorization of 36315
| 3 | 36315 |
| 3 | 12105 |
| 3 | 4035 |
| 5 | 1345 |
| 269 | 269 |
| 1 |
Prime factors of 36315 are 3, 5,269. Prime factorization of 36315 in exponential form is:
36315 = 33×51×2691
Prime Factorization of 36323
| 7 | 36323 |
| 5189 | 5189 |
| 1 |
Prime factors of 36323 are 7,5189. Prime factorization of 36323 in exponential form is:
36323 = 71×51891
Now multiplying the highest exponent prime factors to calculate the LCM of 36315 and 36323.
LCM(36315,36323) = 33×51×71×2691×51891
LCM(36315,36323) = 1319069745
Factors of 36315
List of positive integer factors of 36315 that divides 36315 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315
Factors of 36323
List of positive integer factors of 36323 that divides 36323 without a remainder.
1, 7, 5189, 36323
Least Common Multiple of 36315 and 36323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36315 and 36323, than apply into the LCM equation.
GCF(36315,36323) = 1
LCM(36315,36323) = ( 36315 × 36323) / 1
LCM(36315,36323) = 1319069745 / 1
LCM(36315,36323) = 1319069745
Properties of LCM 36315 and 36323
(i) The LCM of 36323 and 36315 is associative
LCM of 36315 and 36323 = LCM of 36323 and 36315
Related Least Common Multiples of 36315
Related Least Common Multiples of 36323
Frequently Asked Questions on LCM of 36315 and 36323
1. What is the LCM of 36315 and 36323?
Answer: LCM of 36315 and 36323 is 1319069745.
2. What are the Factors of 36315?
Answer: Factors of 36315 are 1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315. There are 16 integers that are factors of 36315. The greatest factor of 36315 is 36315.
3. What are the Factors of 36323?
Answer: Factors of 36323 are 1, 7, 5189, 36323. There are 4 integers that are factors of 36323. The greatest factor of 36323 is 36323.
4. How to Find the LCM of 36315 and 36323?
Answer:
Least Common Multiple of 36315 and 36323 = 1319069745
Step 1: Find the prime factorization of 36315
36315 = 3 x 3 x 3 x 5 x 269
Step 2: Find the prime factorization of 36323
36323 = 7 x 5189
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1319069745 = 3 x 3 x 3 x 5 x 7 x 269 x 5189
Step 4: Therefore, the least common multiple of 36315 and 36323 is 1319069745.