Least Common Multiple of 399 and 407
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 407 the smallest integer that is 162393 that is divisible by both numbers.
Least Common Multiple (LCM) of 399 and 407 is 162393.
LCM(399,407) = 162393
LCM of 399 and 407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 399 and 407 by Prime method
- Least Common Multiple of 399 and 407 with GCF Formula
LCM of 399 and 407 is 162393
Least common multiple can be found by multiplying the highest exponent prime factors of 399 and 407. First we will calculate the prime factors of 399 and 407.
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 407
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 407 are 11,37. Prime factorization of 407 in exponential form is:
407 = 111×371
Now multiplying the highest exponent prime factors to calculate the LCM of 399 and 407.
LCM(399,407) = 31×71×111×191×371
LCM(399,407) = 162393
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 407
List of positive integer factors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Least Common Multiple of 399 and 407 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 407, than apply into the LCM equation.
GCF(399,407) = 1
LCM(399,407) = ( 399 × 407) / 1
LCM(399,407) = 162393 / 1
LCM(399,407) = 162393
Properties of LCM 399 and 407
(i) The LCM of 407 and 399 is associative
LCM of 399 and 407 = LCM of 407 and 399
Related Least Common Multiples of 399
Related Least Common Multiples of 407
Frequently Asked Questions on LCM of 399 and 407
1. What is the LCM of 399 and 407?
Answer: LCM of 399 and 407 is 162393.
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 407?
Answer: Factors of 407 are 1, 11, 37, 407. There are 4 integers that are factors of 407. The greatest factor of 407 is 407.
4. How to Find the LCM of 399 and 407?
Answer:
Least Common Multiple of 399 and 407 = 162393
Step 1: Find the prime factorization of 399
399 = 3 x 7 x 19
Step 2: Find the prime factorization of 407
407 = 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 162393 = 3 x 7 x 11 x 19 x 37
Step 4: Therefore, the least common multiple of 399 and 407 is 162393.