Least Common Multiple of 5307 and 5315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5307 and 5315 the smallest integer that is 28206705 that is divisible by both numbers.
Least Common Multiple (LCM) of 5307 and 5315 is 28206705.
LCM(5307,5315) = 28206705
LCM of 5307 and 5315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5307 and 5315 by Prime method
- Least Common Multiple of 5307 and 5315 with GCF Formula
LCM of 5307 and 5315 is 28206705
Least common multiple can be found by multiplying the highest exponent prime factors of 5307 and 5315. First we will calculate the prime factors of 5307 and 5315.
Prime Factorization of 5307
| 3 | 5307 |
| 29 | 1769 |
| 61 | 61 |
| 1 |
Prime factors of 5307 are 3, 29,61. Prime factorization of 5307 in exponential form is:
5307 = 31×291×611
Prime Factorization of 5315
| 5 | 5315 |
| 1063 | 1063 |
| 1 |
Prime factors of 5315 are 5,1063. Prime factorization of 5315 in exponential form is:
5315 = 51×10631
Now multiplying the highest exponent prime factors to calculate the LCM of 5307 and 5315.
LCM(5307,5315) = 31×51×291×611×10631
LCM(5307,5315) = 28206705
Factors of 5307
List of positive integer factors of 5307 that divides 5307 without a remainder.
1, 3, 29, 61, 87, 183, 1769, 5307
Factors of 5315
List of positive integer factors of 5315 that divides 5315 without a remainder.
1, 5, 1063, 5315
Least Common Multiple of 5307 and 5315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5307 and 5315, than apply into the LCM equation.
GCF(5307,5315) = 1
LCM(5307,5315) = ( 5307 × 5315) / 1
LCM(5307,5315) = 28206705 / 1
LCM(5307,5315) = 28206705
Properties of LCM 5307 and 5315
(i) The LCM of 5315 and 5307 is associative
LCM of 5307 and 5315 = LCM of 5315 and 5307
Related Least Common Multiples of 5307
Related Least Common Multiples of 5315
Frequently Asked Questions on LCM of 5307 and 5315
1. What is the LCM of 5307 and 5315?
Answer: LCM of 5307 and 5315 is 28206705.
2. What are the Factors of 5307?
Answer: Factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307. There are 8 integers that are factors of 5307. The greatest factor of 5307 is 5307.
3. What are the Factors of 5315?
Answer: Factors of 5315 are 1, 5, 1063, 5315. There are 4 integers that are factors of 5315. The greatest factor of 5315 is 5315.
4. How to Find the LCM of 5307 and 5315?
Answer:
Least Common Multiple of 5307 and 5315 = 28206705
Step 1: Find the prime factorization of 5307
5307 = 3 x 29 x 61
Step 2: Find the prime factorization of 5315
5315 = 5 x 1063
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28206705 = 3 x 5 x 29 x 61 x 1063
Step 4: Therefore, the least common multiple of 5307 and 5315 is 28206705.