Least Common Multiple of 7335 and 7339
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7335 and 7339 the smallest integer that is 53831565 that is divisible by both numbers.
Least Common Multiple (LCM) of 7335 and 7339 is 53831565.
LCM(7335,7339) = 53831565
LCM of 7335 and 7339
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7335 and 7339 by Prime method
- Least Common Multiple of 7335 and 7339 with GCF Formula
LCM of 7335 and 7339 is 53831565
Least common multiple can be found by multiplying the highest exponent prime factors of 7335 and 7339. First we will calculate the prime factors of 7335 and 7339.
Prime Factorization of 7335
| 3 | 7335 |
| 3 | 2445 |
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 7335 are 3, 5,163. Prime factorization of 7335 in exponential form is:
7335 = 32×51×1631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7335 and 7339.
LCM(7335,7339) = 32×51×411×1631×1791
LCM(7335,7339) = 53831565
Factors of 7335
List of positive integer factors of 7335 that divides 7335 without a remainder.
1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335
Factors of 7339
List of positive integer factors of 7339 that divides 7339 without a remainder.
1, 41, 179, 7339
Least Common Multiple of 7335 and 7339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7335 and 7339, than apply into the LCM equation.
GCF(7335,7339) = 1
LCM(7335,7339) = ( 7335 × 7339) / 1
LCM(7335,7339) = 53831565 / 1
LCM(7335,7339) = 53831565
Properties of LCM 7335 and 7339
(i) The LCM of 7339 and 7335 is associative
LCM of 7335 and 7339 = LCM of 7339 and 7335
Related Least Common Multiples of 7335
Related Least Common Multiples of 7339
Frequently Asked Questions on LCM of 7335 and 7339
1. What is the LCM of 7335 and 7339?
Answer: LCM of 7335 and 7339 is 53831565.
2. What are the Factors of 7335?
Answer: Factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335. There are 12 integers that are factors of 7335. The greatest factor of 7335 is 7335.
3. 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.
4. How to Find the LCM of 7335 and 7339?
Answer:
Least Common Multiple of 7335 and 7339 = 53831565
Step 1: Find the prime factorization of 7335
7335 = 3 x 3 x 5 x 163
Step 2: Find the prime factorization of 7339
7339 = 41 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53831565 = 3 x 3 x 5 x 41 x 163 x 179
Step 4: Therefore, the least common multiple of 7335 and 7339 is 53831565.