Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2408 and 2410 the smallest integer that is 2901640 that is divisible by both numbers.
Least Common Multiple (LCM) of 2408 and 2410 is 2901640.
LCM(2408,2410) = 2901640
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 2408 and 2410. First we will calculate the prime factors of 2408 and 2410.
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
Prime Factorization of 2410
2 | 2410 |
5 | 1205 |
241 | 241 |
1 |
Prime factors of 2410 are 2, 5,241. Prime factorization of 2410 in exponential form is:
2410 = 21×51×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 2408 and 2410.
LCM(2408,2410) = 23×51×71×431×2411
LCM(2408,2410) = 2901640
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
Factors of 2410
List of positive integer factors of 2410 that divides 2410 without a remainder.
1, 2, 5, 10, 241, 482, 1205, 2410
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2408 and 2410, than apply into the LCM equation.
GCF(2408,2410) = 2
LCM(2408,2410) = ( 2408 × 2410) / 2
LCM(2408,2410) = 5803280 / 2
LCM(2408,2410) = 2901640
(i) The LCM of 2410 and 2408 is associative
LCM of 2408 and 2410 = LCM of 2410 and 2408
1. What is the LCM of 2408 and 2410?
Answer: LCM of 2408 and 2410 is 2901640.
2. 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.
3. What are the Factors of 2410?
Answer: Factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410. There are 8 integers that are factors of 2410. The greatest factor of 2410 is 2410.
4. How to Find the LCM of 2408 and 2410?
Answer:
Least Common Multiple of 2408 and 2410 = 2901640
Step 1: Find the prime factorization of 2408
2408 = 2 x 2 x 2 x 7 x 43
Step 2: Find the prime factorization of 2410
2410 = 2 x 5 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2901640 = 2 x 2 x 2 x 5 x 7 x 43 x 241
Step 4: Therefore, the least common multiple of 2408 and 2410 is 2901640.