Least Common Multiple of 7309 and 7315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7309 and 7315 the smallest integer that is 53465335 that is divisible by both numbers.
Least Common Multiple (LCM) of 7309 and 7315 is 53465335.
LCM(7309,7315) = 53465335
LCM of 7309 and 7315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7309 and 7315 by Prime method
- Least Common Multiple of 7309 and 7315 with GCF Formula
LCM of 7309 and 7315 is 53465335
Least common multiple can be found by multiplying the highest exponent prime factors of 7309 and 7315. First we will calculate the prime factors of 7309 and 7315.
Prime Factorization of 7309
| 7309 | 7309 |
| 1 |
Prime factors of 7309 are 7309. Prime factorization of 7309 in exponential form is:
7309 = 73091
Prime Factorization of 7315
| 5 | 7315 |
| 7 | 1463 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 7315 are 5, 7, 11,19. Prime factorization of 7315 in exponential form is:
7315 = 51×71×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 7309 and 7315.
LCM(7309,7315) = 51×71×111×191×73091
LCM(7309,7315) = 53465335
Factors of 7309
List of positive integer factors of 7309 that divides 7309 without a remainder.
1, 7309
Factors of 7315
List of positive integer factors of 7315 that divides 7315 without a remainder.
1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
Least Common Multiple of 7309 and 7315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7309 and 7315, than apply into the LCM equation.
GCF(7309,7315) = 1
LCM(7309,7315) = ( 7309 × 7315) / 1
LCM(7309,7315) = 53465335 / 1
LCM(7309,7315) = 53465335
Properties of LCM 7309 and 7315
(i) The LCM of 7315 and 7309 is associative
LCM of 7309 and 7315 = LCM of 7315 and 7309
Related Least Common Multiples of 7309
Related Least Common Multiples of 7315
Frequently Asked Questions on LCM of 7309 and 7315
1. What is the LCM of 7309 and 7315?
Answer: LCM of 7309 and 7315 is 53465335.
2. What are the Factors of 7309?
Answer: Factors of 7309 are 1, 7309. There are 2 integers that are factors of 7309. The greatest factor of 7309 is 7309.
3. What are the Factors of 7315?
Answer: Factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315. There are 16 integers that are factors of 7315. The greatest factor of 7315 is 7315.
4. How to Find the LCM of 7309 and 7315?
Answer:
Least Common Multiple of 7309 and 7315 = 53465335
Step 1: Find the prime factorization of 7309
7309 = 7309
Step 2: Find the prime factorization of 7315
7315 = 5 x 7 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53465335 = 5 x 7 x 11 x 19 x 7309
Step 4: Therefore, the least common multiple of 7309 and 7315 is 53465335.
