Least Common Multiple of 2407 and 2415
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2407 and 2415 the smallest integer that is 5812905 that is divisible by both numbers.
Least Common Multiple (LCM) of 2407 and 2415 is 5812905.
LCM(2407,2415) = 5812905
LCM of 2407 and 2415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2407 and 2415 by Prime method
- Least Common Multiple of 2407 and 2415 with GCF Formula
LCM of 2407 and 2415 is 5812905
Least common multiple can be found by multiplying the highest exponent prime factors of 2407 and 2415. First we will calculate the prime factors of 2407 and 2415.
Prime Factorization of 2407
| 29 | 2407 |
| 83 | 83 |
| 1 |
Prime factors of 2407 are 29,83. Prime factorization of 2407 in exponential form is:
2407 = 291×831
Prime Factorization of 2415
| 3 | 2415 |
| 5 | 805 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 2415 are 3, 5, 7,23. Prime factorization of 2415 in exponential form is:
2415 = 31×51×71×231
Now multiplying the highest exponent prime factors to calculate the LCM of 2407 and 2415.
LCM(2407,2415) = 31×51×71×231×291×831
LCM(2407,2415) = 5812905
Factors of 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1, 29, 83, 2407
Factors of 2415
List of positive integer factors of 2415 that divides 2415 without a remainder.
1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415
Least Common Multiple of 2407 and 2415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2407 and 2415, than apply into the LCM equation.
GCF(2407,2415) = 1
LCM(2407,2415) = ( 2407 × 2415) / 1
LCM(2407,2415) = 5812905 / 1
LCM(2407,2415) = 5812905
Properties of LCM 2407 and 2415
(i) The LCM of 2415 and 2407 is associative
LCM of 2407 and 2415 = LCM of 2415 and 2407
Related Least Common Multiples of 2407
Related Least Common Multiples of 2415
Frequently Asked Questions on LCM of 2407 and 2415
1. What is the LCM of 2407 and 2415?
Answer: LCM of 2407 and 2415 is 5812905.
2. What are the Factors of 2407?
Answer: Factors of 2407 are 1, 29, 83, 2407. There are 4 integers that are factors of 2407. The greatest factor of 2407 is 2407.
3. What are the Factors of 2415?
Answer: Factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415. There are 16 integers that are factors of 2415. The greatest factor of 2415 is 2415.
4. How to Find the LCM of 2407 and 2415?
Answer:
Least Common Multiple of 2407 and 2415 = 5812905
Step 1: Find the prime factorization of 2407
2407 = 29 x 83
Step 2: Find the prime factorization of 2415
2415 = 3 x 5 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5812905 = 3 x 5 x 7 x 23 x 29 x 83
Step 4: Therefore, the least common multiple of 2407 and 2415 is 5812905.
