Least Common Multiple of 399 and 403
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 399 and 403 the smallest integer that is 160797 that is divisible by both numbers.
Least Common Multiple (LCM) of 399 and 403 is 160797.
LCM(399,403) = 160797
LCM of 399 and 403
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 399 and 403 by Prime method
- Least Common Multiple of 399 and 403 with GCF Formula
LCM of 399 and 403 is 160797
Least common multiple can be found by multiplying the highest exponent prime factors of 399 and 403. First we will calculate the prime factors of 399 and 403.
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
Prime Factorization of 403
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 403 are 13,31. Prime factorization of 403 in exponential form is:
403 = 131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 399 and 403.
LCM(399,403) = 31×71×131×191×311
LCM(399,403) = 160797
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Least Common Multiple of 399 and 403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 399 and 403, than apply into the LCM equation.
GCF(399,403) = 1
LCM(399,403) = ( 399 × 403) / 1
LCM(399,403) = 160797 / 1
LCM(399,403) = 160797
Properties of LCM 399 and 403
(i) The LCM of 403 and 399 is associative
LCM of 399 and 403 = LCM of 403 and 399
Related Least Common Multiples of 399
Related Least Common Multiples of 403
Frequently Asked Questions on LCM of 399 and 403
1. What is the LCM of 399 and 403?
Answer: LCM of 399 and 403 is 160797.
2. 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.
3. What are the Factors of 403?
Answer: Factors of 403 are 1, 13, 31, 403. There are 4 integers that are factors of 403. The greatest factor of 403 is 403.
4. How to Find the LCM of 399 and 403?
Answer:
Least Common Multiple of 399 and 403 = 160797
Step 1: Find the prime factorization of 399
399 = 3 x 7 x 19
Step 2: Find the prime factorization of 403
403 = 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 160797 = 3 x 7 x 13 x 19 x 31
Step 4: Therefore, the least common multiple of 399 and 403 is 160797.