Least Common Multiple of 401 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 401 and 405 the smallest integer that is 162405 that is divisible by both numbers.
Least Common Multiple (LCM) of 401 and 405 is 162405.
LCM(401,405) = 162405
LCM of 401 and 405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 401 and 405 by Prime method
- Least Common Multiple of 401 and 405 with GCF Formula
LCM of 401 and 405 is 162405
Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 405. First we will calculate the prime factors of 401 and 405.
Prime Factorization of 401
| 401 | 401 |
| 1 |
Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:
401 = 4011
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 401 and 405.
LCM(401,405) = 34×51×4011
LCM(401,405) = 162405
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1, 401
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 401 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 401 and 405, than apply into the LCM equation.
GCF(401,405) = 1
LCM(401,405) = ( 401 × 405) / 1
LCM(401,405) = 162405 / 1
LCM(401,405) = 162405
Properties of LCM 401 and 405
(i) The LCM of 405 and 401 is associative
LCM of 401 and 405 = LCM of 405 and 401
Related Least Common Multiples of 401
Related Least Common Multiples of 405
Frequently Asked Questions on LCM of 401 and 405
1. What is the LCM of 401 and 405?
Answer: LCM of 401 and 405 is 162405.
2. What are the Factors of 401?
Answer: Factors of 401 are 1, 401. There are 2 integers that are factors of 401. The greatest factor of 401 is 401.
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 401 and 405?
Answer:
Least Common Multiple of 401 and 405 = 162405
Step 1: Find the prime factorization of 401
401 = 401
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 = 162405 = 3 x 3 x 3 x 3 x 5 x 401
Step 4: Therefore, the least common multiple of 401 and 405 is 162405.
