Least Common Multiple of 7307 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 7307 and 7314 the smallest integer that is 53443398 that is divisible by both numbers.
Least Common Multiple (LCM) of 7307 and 7314 is 53443398.
LCM(7307,7314) = 53443398
LCM of 7307 and 7314
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7307 and 7314 by Prime method
- Least Common Multiple of 7307 and 7314 with GCF Formula
LCM of 7307 and 7314 is 53443398
Least common multiple can be found by multiplying the highest exponent prime factors of 7307 and 7314. First we will calculate the prime factors of 7307 and 7314.
Prime Factorization of 7307
| 7307 | 7307 |
| 1 |
Prime factors of 7307 are 7307. Prime factorization of 7307 in exponential form is:
7307 = 73071
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 7307 and 7314.
LCM(7307,7314) = 21×31×231×531×73071
LCM(7307,7314) = 53443398
Factors of 7307
List of positive integer factors of 7307 that divides 7307 without a remainder.
1, 7307
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 7307 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 7307 and 7314, than apply into the LCM equation.
GCF(7307,7314) = 1
LCM(7307,7314) = ( 7307 × 7314) / 1
LCM(7307,7314) = 53443398 / 1
LCM(7307,7314) = 53443398
Properties of LCM 7307 and 7314
(i) The LCM of 7314 and 7307 is associative
LCM of 7307 and 7314 = LCM of 7314 and 7307
Related Least Common Multiples of 7307
Related Least Common Multiples of 7314
Frequently Asked Questions on LCM of 7307 and 7314
1. What is the LCM of 7307 and 7314?
Answer: LCM of 7307 and 7314 is 53443398.
2. What are the Factors of 7307?
Answer: Factors of 7307 are 1, 7307. There are 2 integers that are factors of 7307. The greatest factor of 7307 is 7307.
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 7307 and 7314?
Answer:
Least Common Multiple of 7307 and 7314 = 53443398
Step 1: Find the prime factorization of 7307
7307 = 7307
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 = 53443398 = 2 x 3 x 23 x 53 x 7307
Step 4: Therefore, the least common multiple of 7307 and 7314 is 53443398.