Least Common Multiple of 7309 and 7314
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 7314 the smallest integer that is 53458026 that is divisible by both numbers.
Least Common Multiple (LCM) of 7309 and 7314 is 53458026.
LCM(7309,7314) = 53458026
LCM of 7309 and 7314
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7309 and 7314 by Prime method
- Least Common Multiple of 7309 and 7314 with GCF Formula
LCM of 7309 and 7314 is 53458026
Least common multiple can be found by multiplying the highest exponent prime factors of 7309 and 7314. First we will calculate the prime factors of 7309 and 7314.
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 7314
| 2 | 7314 |
| 3 | 3657 |
| 23 | 1219 |
| 53 | 53 |
| 1 |
Prime factors of 7314 are 2, 3, 23,53. Prime factorization of 7314 in exponential form is:
7314 = 21×31×231×531
Now multiplying the highest exponent prime factors to calculate the LCM of 7309 and 7314.
LCM(7309,7314) = 21×31×231×531×73091
LCM(7309,7314) = 53458026
Factors of 7309
List of positive integer factors of 7309 that divides 7309 without a remainder.
1, 7309
Factors of 7314
List of positive integer factors of 7314 that divides 7314 without a remainder.
1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314
Least Common Multiple of 7309 and 7314 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 7314, than apply into the LCM equation.
GCF(7309,7314) = 1
LCM(7309,7314) = ( 7309 × 7314) / 1
LCM(7309,7314) = 53458026 / 1
LCM(7309,7314) = 53458026
Properties of LCM 7309 and 7314
(i) The LCM of 7314 and 7309 is associative
LCM of 7309 and 7314 = LCM of 7314 and 7309
Related Least Common Multiples of 7309
Related Least Common Multiples of 7314
Frequently Asked Questions on LCM of 7309 and 7314
1. What is the LCM of 7309 and 7314?
Answer: LCM of 7309 and 7314 is 53458026.
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 7314?
Answer: Factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314. There are 16 integers that are factors of 7314. The greatest factor of 7314 is 7314.
4. How to Find the LCM of 7309 and 7314?
Answer:
Least Common Multiple of 7309 and 7314 = 53458026
Step 1: Find the prime factorization of 7309
7309 = 7309
Step 2: Find the prime factorization of 7314
7314 = 2 x 3 x 23 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53458026 = 2 x 3 x 23 x 53 x 7309
Step 4: Therefore, the least common multiple of 7309 and 7314 is 53458026.