Least Common Multiple of 7395 and 7399
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7395 and 7399 the smallest integer that is 54715605 that is divisible by both numbers.
Least Common Multiple (LCM) of 7395 and 7399 is 54715605.
LCM(7395,7399) = 54715605
LCM of 7395 and 7399
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7395 and 7399 by Prime method
- Least Common Multiple of 7395 and 7399 with GCF Formula
LCM of 7395 and 7399 is 54715605
Least common multiple can be found by multiplying the highest exponent prime factors of 7395 and 7399. First we will calculate the prime factors of 7395 and 7399.
Prime Factorization of 7395
| 3 | 7395 |
| 5 | 2465 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 7395 are 3, 5, 17,29. Prime factorization of 7395 in exponential form is:
7395 = 31×51×171×291
Prime Factorization of 7399
| 7 | 7399 |
| 7 | 1057 |
| 151 | 151 |
| 1 |
Prime factors of 7399 are 7,151. Prime factorization of 7399 in exponential form is:
7399 = 72×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 7395 and 7399.
LCM(7395,7399) = 31×51×72×171×291×1511
LCM(7395,7399) = 54715605
Factors of 7395
List of positive integer factors of 7395 that divides 7395 without a remainder.
1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395
Factors of 7399
List of positive integer factors of 7399 that divides 7399 without a remainder.
1, 7, 49, 151, 1057, 7399
Least Common Multiple of 7395 and 7399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7395 and 7399, than apply into the LCM equation.
GCF(7395,7399) = 1
LCM(7395,7399) = ( 7395 × 7399) / 1
LCM(7395,7399) = 54715605 / 1
LCM(7395,7399) = 54715605
Properties of LCM 7395 and 7399
(i) The LCM of 7399 and 7395 is associative
LCM of 7395 and 7399 = LCM of 7399 and 7395
Related Least Common Multiples of 7395
Related Least Common Multiples of 7399
Frequently Asked Questions on LCM of 7395 and 7399
1. What is the LCM of 7395 and 7399?
Answer: LCM of 7395 and 7399 is 54715605.
2. What are the Factors of 7395?
Answer: Factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395. There are 16 integers that are factors of 7395. The greatest factor of 7395 is 7395.
3. What are the Factors of 7399?
Answer: Factors of 7399 are 1, 7, 49, 151, 1057, 7399. There are 6 integers that are factors of 7399. The greatest factor of 7399 is 7399.
4. How to Find the LCM of 7395 and 7399?
Answer:
Least Common Multiple of 7395 and 7399 = 54715605
Step 1: Find the prime factorization of 7395
7395 = 3 x 5 x 17 x 29
Step 2: Find the prime factorization of 7399
7399 = 7 x 7 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54715605 = 3 x 5 x 7 x 7 x 17 x 29 x 151
Step 4: Therefore, the least common multiple of 7395 and 7399 is 54715605.