Least Common Multiple of 397 and 405
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 397 and 405 the smallest integer that is 160785 that is divisible by both numbers.
Least Common Multiple (LCM) of 397 and 405 is 160785.
LCM(397,405) = 160785
LCM of 397 and 405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 397 and 405 by Prime method
- Least Common Multiple of 397 and 405 with GCF Formula
LCM of 397 and 405 is 160785
Least common multiple can be found by multiplying the highest exponent prime factors of 397 and 405. First we will calculate the prime factors of 397 and 405.
Prime Factorization of 397
| 397 | 397 |
| 1 |
Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:
397 = 3971
Prime Factorization of 405
| 3 | 405 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 405 are 3,5. Prime factorization of 405 in exponential form is:
405 = 34×51
Now multiplying the highest exponent prime factors to calculate the LCM of 397 and 405.
LCM(397,405) = 34×51×3971
LCM(397,405) = 160785
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1, 397
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Least Common Multiple of 397 and 405 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 397 and 405, than apply into the LCM equation.
GCF(397,405) = 1
LCM(397,405) = ( 397 × 405) / 1
LCM(397,405) = 160785 / 1
LCM(397,405) = 160785
Properties of LCM 397 and 405
(i) The LCM of 405 and 397 is associative
LCM of 397 and 405 = LCM of 405 and 397
Related Least Common Multiples of 397
Related Least Common Multiples of 405
Frequently Asked Questions on LCM of 397 and 405
1. What is the LCM of 397 and 405?
Answer: LCM of 397 and 405 is 160785.
2. What are the Factors of 397?
Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.
3. What are the Factors of 405?
Answer: Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. There are 10 integers that are factors of 405. The greatest factor of 405 is 405.
4. How to Find the LCM of 397 and 405?
Answer:
Least Common Multiple of 397 and 405 = 160785
Step 1: Find the prime factorization of 397
397 = 397
Step 2: Find the prime factorization of 405
405 = 3 x 3 x 3 x 3 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 160785 = 3 x 3 x 3 x 3 x 5 x 397
Step 4: Therefore, the least common multiple of 397 and 405 is 160785.