Least Common Multiple of 7339 and 7347
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7339 and 7347 the smallest integer that is 53919633 that is divisible by both numbers.
Least Common Multiple (LCM) of 7339 and 7347 is 53919633.
LCM(7339,7347) = 53919633
LCM of 7339 and 7347
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7339 and 7347 by Prime method
- Least Common Multiple of 7339 and 7347 with GCF Formula
LCM of 7339 and 7347 is 53919633
Least common multiple can be found by multiplying the highest exponent prime factors of 7339 and 7347. First we will calculate the prime factors of 7339 and 7347.
Prime Factorization of 7339
| 41 | 7339 |
| 179 | 179 |
| 1 |
Prime factors of 7339 are 41,179. Prime factorization of 7339 in exponential form is:
7339 = 411×1791
Prime Factorization of 7347
| 3 | 7347 |
| 31 | 2449 |
| 79 | 79 |
| 1 |
Prime factors of 7347 are 3, 31,79. Prime factorization of 7347 in exponential form is:
7347 = 31×311×791
Now multiplying the highest exponent prime factors to calculate the LCM of 7339 and 7347.
LCM(7339,7347) = 31×311×411×791×1791
LCM(7339,7347) = 53919633
Factors of 7339
List of positive integer factors of 7339 that divides 7339 without a remainder.
1, 41, 179, 7339
Factors of 7347
List of positive integer factors of 7347 that divides 7347 without a remainder.
1, 3, 31, 79, 93, 237, 2449, 7347
Least Common Multiple of 7339 and 7347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7339 and 7347, than apply into the LCM equation.
GCF(7339,7347) = 1
LCM(7339,7347) = ( 7339 × 7347) / 1
LCM(7339,7347) = 53919633 / 1
LCM(7339,7347) = 53919633
Properties of LCM 7339 and 7347
(i) The LCM of 7347 and 7339 is associative
LCM of 7339 and 7347 = LCM of 7347 and 7339
Related Least Common Multiples of 7339
Related Least Common Multiples of 7347
Frequently Asked Questions on LCM of 7339 and 7347
1. What is the LCM of 7339 and 7347?
Answer: LCM of 7339 and 7347 is 53919633.
2. What are the Factors of 7339?
Answer: Factors of 7339 are 1, 41, 179, 7339. There are 4 integers that are factors of 7339. The greatest factor of 7339 is 7339.
3. What are the Factors of 7347?
Answer: Factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347. There are 8 integers that are factors of 7347. The greatest factor of 7347 is 7347.
4. How to Find the LCM of 7339 and 7347?
Answer:
Least Common Multiple of 7339 and 7347 = 53919633
Step 1: Find the prime factorization of 7339
7339 = 41 x 179
Step 2: Find the prime factorization of 7347
7347 = 3 x 31 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53919633 = 3 x 31 x 41 x 79 x 179
Step 4: Therefore, the least common multiple of 7339 and 7347 is 53919633.