Least Common Multiple of 2401 and 2404
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2401 and 2404 the smallest integer that is 5772004 that is divisible by both numbers.
Least Common Multiple (LCM) of 2401 and 2404 is 5772004.
LCM(2401,2404) = 5772004
LCM of 2401 and 2404
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2401 and 2404 by Prime method
- Least Common Multiple of 2401 and 2404 with GCF Formula
LCM of 2401 and 2404 is 5772004
Least common multiple can be found by multiplying the highest exponent prime factors of 2401 and 2404. First we will calculate the prime factors of 2401 and 2404.
Prime Factorization of 2401
| 7 | 2401 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:
2401 = 74
Prime Factorization of 2404
| 2 | 2404 |
| 2 | 1202 |
| 601 | 601 |
| 1 |
Prime factors of 2404 are 2,601. Prime factorization of 2404 in exponential form is:
2404 = 22×6011
Now multiplying the highest exponent prime factors to calculate the LCM of 2401 and 2404.
LCM(2401,2404) = 22×74×6011
LCM(2401,2404) = 5772004
Factors of 2401
List of positive integer factors of 2401 that divides 2401 without a remainder.
1, 7, 49, 343, 2401
Factors of 2404
List of positive integer factors of 2404 that divides 2404 without a remainder.
1, 2, 4, 601, 1202, 2404
Least Common Multiple of 2401 and 2404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2401 and 2404, than apply into the LCM equation.
GCF(2401,2404) = 1
LCM(2401,2404) = ( 2401 × 2404) / 1
LCM(2401,2404) = 5772004 / 1
LCM(2401,2404) = 5772004
Properties of LCM 2401 and 2404
(i) The LCM of 2404 and 2401 is associative
LCM of 2401 and 2404 = LCM of 2404 and 2401
Related Least Common Multiples of 2401
Related Least Common Multiples of 2404
Frequently Asked Questions on LCM of 2401 and 2404
1. What is the LCM of 2401 and 2404?
Answer: LCM of 2401 and 2404 is 5772004.
2. What are the Factors of 2401?
Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.
3. What are the Factors of 2404?
Answer: Factors of 2404 are 1, 2, 4, 601, 1202, 2404. There are 6 integers that are factors of 2404. The greatest factor of 2404 is 2404.
4. How to Find the LCM of 2401 and 2404?
Answer:
Least Common Multiple of 2401 and 2404 = 5772004
Step 1: Find the prime factorization of 2401
2401 = 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 2404
2404 = 2 x 2 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5772004 = 2 x 2 x 7 x 7 x 7 x 7 x 601
Step 4: Therefore, the least common multiple of 2401 and 2404 is 5772004.
