Least Common Multiple of 400 and 401
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 400 and 401 the smallest integer that is 160400 that is divisible by both numbers.
Least Common Multiple (LCM) of 400 and 401 is 160400.
LCM(400,401) = 160400
LCM of 400 and 401
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 400 and 401 by Prime method
- Least Common Multiple of 400 and 401 with GCF Formula
LCM of 400 and 401 is 160400
Least common multiple can be found by multiplying the highest exponent prime factors of 400 and 401. First we will calculate the prime factors of 400 and 401.
Prime Factorization of 400
| 2 | 400 |
| 2 | 200 |
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 400 are 2,5. Prime factorization of 400 in exponential form is:
400 = 24×52
Prime Factorization of 401
| 401 | 401 |
| 1 |
Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:
401 = 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 400 and 401.
LCM(400,401) = 24×52×4011
LCM(400,401) = 160400
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1, 401
Least Common Multiple of 400 and 401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 400 and 401, than apply into the LCM equation.
GCF(400,401) = 1
LCM(400,401) = ( 400 × 401) / 1
LCM(400,401) = 160400 / 1
LCM(400,401) = 160400
Properties of LCM 400 and 401
(i) The LCM of 401 and 400 is associative
LCM of 400 and 401 = LCM of 401 and 400
Related Least Common Multiples of 400
Related Least Common Multiples of 401
Frequently Asked Questions on LCM of 400 and 401
1. What is the LCM of 400 and 401?
Answer: LCM of 400 and 401 is 160400.
2. What are the Factors of 400?
Answer: Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. There are 15 integers that are factors of 400. The greatest factor of 400 is 400.
3. 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.
4. How to Find the LCM of 400 and 401?
Answer:
Least Common Multiple of 400 and 401 = 160400
Step 1: Find the prime factorization of 400
400 = 2 x 2 x 2 x 2 x 5 x 5
Step 2: Find the prime factorization of 401
401 = 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 160400 = 2 x 2 x 2 x 2 x 5 x 5 x 401
Step 4: Therefore, the least common multiple of 400 and 401 is 160400.
