Least Common Multiple of 395 and 399
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 395 and 399 the smallest integer that is 157605 that is divisible by both numbers.
Least Common Multiple (LCM) of 395 and 399 is 157605.
LCM(395,399) = 157605
LCM of 395 and 399
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 395 and 399 by Prime method
- Least Common Multiple of 395 and 399 with GCF Formula
LCM of 395 and 399 is 157605
Least common multiple can be found by multiplying the highest exponent prime factors of 395 and 399. First we will calculate the prime factors of 395 and 399.
Prime Factorization of 395
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:
395 = 51×791
Prime Factorization of 399
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 399 are 3, 7,19. Prime factorization of 399 in exponential form is:
399 = 31×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 395 and 399.
LCM(395,399) = 31×51×71×191×791
LCM(395,399) = 157605
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Least Common Multiple of 395 and 399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 395 and 399, than apply into the LCM equation.
GCF(395,399) = 1
LCM(395,399) = ( 395 × 399) / 1
LCM(395,399) = 157605 / 1
LCM(395,399) = 157605
Properties of LCM 395 and 399
(i) The LCM of 399 and 395 is associative
LCM of 395 and 399 = LCM of 399 and 395
Related Least Common Multiples of 395
Related Least Common Multiples of 399
Frequently Asked Questions on LCM of 395 and 399
1. What is the LCM of 395 and 399?
Answer: LCM of 395 and 399 is 157605.
2. What are the Factors of 395?
Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.
3. What are the Factors of 399?
Answer: Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. There are 8 integers that are factors of 399. The greatest factor of 399 is 399.
4. How to Find the LCM of 395 and 399?
Answer:
Least Common Multiple of 395 and 399 = 157605
Step 1: Find the prime factorization of 395
395 = 5 x 79
Step 2: Find the prime factorization of 399
399 = 3 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 157605 = 3 x 5 x 7 x 19 x 79
Step 4: Therefore, the least common multiple of 395 and 399 is 157605.