Least Common Multiple of 7313 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 7313 and 7315 the smallest integer that is 53494595 that is divisible by both numbers.
Least Common Multiple (LCM) of 7313 and 7315 is 53494595.
LCM(7313,7315) = 53494595
LCM of 7313 and 7315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7313 and 7315 by Prime method
- Least Common Multiple of 7313 and 7315 with GCF Formula
LCM of 7313 and 7315 is 53494595
Least common multiple can be found by multiplying the highest exponent prime factors of 7313 and 7315. First we will calculate the prime factors of 7313 and 7315.
Prime Factorization of 7313
| 71 | 7313 |
| 103 | 103 |
| 1 |
Prime factors of 7313 are 71,103. Prime factorization of 7313 in exponential form is:
7313 = 711×1031
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 7313 and 7315.
LCM(7313,7315) = 51×71×111×191×711×1031
LCM(7313,7315) = 53494595
Factors of 7313
List of positive integer factors of 7313 that divides 7313 without a remainder.
1, 71, 103, 7313
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 7313 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 7313 and 7315, than apply into the LCM equation.
GCF(7313,7315) = 1
LCM(7313,7315) = ( 7313 × 7315) / 1
LCM(7313,7315) = 53494595 / 1
LCM(7313,7315) = 53494595
Properties of LCM 7313 and 7315
(i) The LCM of 7315 and 7313 is associative
LCM of 7313 and 7315 = LCM of 7315 and 7313
Related Least Common Multiples of 7313
Related Least Common Multiples of 7315
Frequently Asked Questions on LCM of 7313 and 7315
1. What is the LCM of 7313 and 7315?
Answer: LCM of 7313 and 7315 is 53494595.
2. What are the Factors of 7313?
Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.
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 7313 and 7315?
Answer:
Least Common Multiple of 7313 and 7315 = 53494595
Step 1: Find the prime factorization of 7313
7313 = 71 x 103
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 = 53494595 = 5 x 7 x 11 x 19 x 71 x 103
Step 4: Therefore, the least common multiple of 7313 and 7315 is 53494595.
