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 2406 the smallest integer that is 5776806 that is divisible by both numbers.
Least Common Multiple (LCM) of 2401 and 2406 is 5776806.
LCM(2401,2406) = 5776806
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 2406. First we will calculate the prime factors of 2401 and 2406.
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 2406
2 | 2406 |
3 | 1203 |
401 | 401 |
1 |
Prime factors of 2406 are 2, 3,401. Prime factorization of 2406 in exponential form is:
2406 = 21×31×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 2401 and 2406.
LCM(2401,2406) = 21×31×74×4011
LCM(2401,2406) = 5776806
Factors of 2401
List of positive integer factors of 2401 that divides 2401 without a remainder.
1, 7, 49, 343, 2401
Factors of 2406
List of positive integer factors of 2406 that divides 2406 without a remainder.
1, 2, 3, 6, 401, 802, 1203, 2406
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2401 and 2406, than apply into the LCM equation.
GCF(2401,2406) = 1
LCM(2401,2406) = ( 2401 × 2406) / 1
LCM(2401,2406) = 5776806 / 1
LCM(2401,2406) = 5776806
(i) The LCM of 2406 and 2401 is associative
LCM of 2401 and 2406 = LCM of 2406 and 2401
1. What is the LCM of 2401 and 2406?
Answer: LCM of 2401 and 2406 is 5776806.
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 2406?
Answer: Factors of 2406 are 1, 2, 3, 6, 401, 802, 1203, 2406. There are 8 integers that are factors of 2406. The greatest factor of 2406 is 2406.
4. How to Find the LCM of 2401 and 2406?
Answer:
Least Common Multiple of 2401 and 2406 = 5776806
Step 1: Find the prime factorization of 2401
2401 = 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 2406
2406 = 2 x 3 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5776806 = 2 x 3 x 7 x 7 x 7 x 7 x 401
Step 4: Therefore, the least common multiple of 2401 and 2406 is 5776806.