Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2406 and 2408 the smallest integer that is 2896824 that is divisible by both numbers.
Least Common Multiple (LCM) of 2406 and 2408 is 2896824.
LCM(2406,2408) = 2896824
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 2406 and 2408. First we will calculate the prime factors of 2406 and 2408.
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
Prime Factorization of 2408
2 | 2408 |
2 | 1204 |
2 | 602 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 2408 are 2, 7,43. Prime factorization of 2408 in exponential form is:
2408 = 23×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2406 and 2408.
LCM(2406,2408) = 23×31×71×431×4011
LCM(2406,2408) = 2896824
Factors of 2406
List of positive integer factors of 2406 that divides 2406 without a remainder.
1, 2, 3, 6, 401, 802, 1203, 2406
Factors of 2408
List of positive integer factors of 2408 that divides 2408 without a remainder.
1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2406 and 2408, than apply into the LCM equation.
GCF(2406,2408) = 2
LCM(2406,2408) = ( 2406 × 2408) / 2
LCM(2406,2408) = 5793648 / 2
LCM(2406,2408) = 2896824
(i) The LCM of 2408 and 2406 is associative
LCM of 2406 and 2408 = LCM of 2408 and 2406
1. What is the LCM of 2406 and 2408?
Answer: LCM of 2406 and 2408 is 2896824.
2. 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.
3. What are the Factors of 2408?
Answer: Factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408. There are 16 integers that are factors of 2408. The greatest factor of 2408 is 2408.
4. How to Find the LCM of 2406 and 2408?
Answer:
Least Common Multiple of 2406 and 2408 = 2896824
Step 1: Find the prime factorization of 2406
2406 = 2 x 3 x 401
Step 2: Find the prime factorization of 2408
2408 = 2 x 2 x 2 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2896824 = 2 x 2 x 2 x 3 x 7 x 43 x 401
Step 4: Therefore, the least common multiple of 2406 and 2408 is 2896824.