Least Common Multiple of 401 and 404
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 404 the smallest integer that is 162004 that is divisible by both numbers.
Least Common Multiple (LCM) of 401 and 404 is 162004.
LCM(401,404) = 162004
LCM of 401 and 404
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 401 and 404 by Prime method
- Least Common Multiple of 401 and 404 with GCF Formula
LCM of 401 and 404 is 162004
Least common multiple can be found by multiplying the highest exponent prime factors of 401 and 404. First we will calculate the prime factors of 401 and 404.
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 404
| 2 | 404 |
| 2 | 202 |
| 101 | 101 |
| 1 |
Prime factors of 404 are 2,101. Prime factorization of 404 in exponential form is:
404 = 22×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 401 and 404.
LCM(401,404) = 22×1011×4011
LCM(401,404) = 162004
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1, 401
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Least Common Multiple of 401 and 404 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 404, than apply into the LCM equation.
GCF(401,404) = 1
LCM(401,404) = ( 401 × 404) / 1
LCM(401,404) = 162004 / 1
LCM(401,404) = 162004
Properties of LCM 401 and 404
(i) The LCM of 404 and 401 is associative
LCM of 401 and 404 = LCM of 404 and 401
Related Least Common Multiples of 401
Related Least Common Multiples of 404
Frequently Asked Questions on LCM of 401 and 404
1. What is the LCM of 401 and 404?
Answer: LCM of 401 and 404 is 162004.
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 404?
Answer: Factors of 404 are 1, 2, 4, 101, 202, 404. There are 6 integers that are factors of 404. The greatest factor of 404 is 404.
4. How to Find the LCM of 401 and 404?
Answer:
Least Common Multiple of 401 and 404 = 162004
Step 1: Find the prime factorization of 401
401 = 401
Step 2: Find the prime factorization of 404
404 = 2 x 2 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 162004 = 2 x 2 x 101 x 401
Step 4: Therefore, the least common multiple of 401 and 404 is 162004.
