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 2405 the smallest integer that is 5774405 that is divisible by both numbers.
Least Common Multiple (LCM) of 2401 and 2405 is 5774405.
LCM(2401,2405) = 5774405
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2401 and 2405. First we will calculate the prime factors of 2401 and 2405.
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 2405
5 | 2405 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 2405 are 5, 13,37. Prime factorization of 2405 in exponential form is:
2405 = 51×131×371
Now multiplying the highest exponent prime factors to calculate the LCM of 2401 and 2405.
LCM(2401,2405) = 51×74×131×371
LCM(2401,2405) = 5774405
Factors of 2401
List of positive integer factors of 2401 that divides 2401 without a remainder.
1, 7, 49, 343, 2401
Factors of 2405
List of positive integer factors of 2405 that divides 2405 without a remainder.
1, 5, 13, 37, 65, 185, 481, 2405
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2401 and 2405, than apply into the LCM equation.
GCF(2401,2405) = 1
LCM(2401,2405) = ( 2401 × 2405) / 1
LCM(2401,2405) = 5774405 / 1
LCM(2401,2405) = 5774405
(i) The LCM of 2405 and 2401 is associative
LCM of 2401 and 2405 = LCM of 2405 and 2401
1. What is the LCM of 2401 and 2405?
Answer: LCM of 2401 and 2405 is 5774405.
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 2405?
Answer: Factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405. There are 8 integers that are factors of 2405. The greatest factor of 2405 is 2405.
4. How to Find the LCM of 2401 and 2405?
Answer:
Least Common Multiple of 2401 and 2405 = 5774405
Step 1: Find the prime factorization of 2401
2401 = 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 2405
2405 = 5 x 13 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5774405 = 5 x 7 x 7 x 7 x 7 x 13 x 37
Step 4: Therefore, the least common multiple of 2401 and 2405 is 5774405.