Least Common Multiple of 15407 and 15415
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15407 and 15415 the smallest integer that is 237498905 that is divisible by both numbers.
Least Common Multiple (LCM) of 15407 and 15415 is 237498905.
LCM(15407,15415) = 237498905
LCM of 15407 and 15415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15407 and 15415 by Prime method
- Least Common Multiple of 15407 and 15415 with GCF Formula
LCM of 15407 and 15415 is 237498905
Least common multiple can be found by multiplying the highest exponent prime factors of 15407 and 15415. First we will calculate the prime factors of 15407 and 15415.
Prime Factorization of 15407
| 7 | 15407 |
| 31 | 2201 |
| 71 | 71 |
| 1 |
Prime factors of 15407 are 7, 31,71. Prime factorization of 15407 in exponential form is:
15407 = 71×311×711
Prime Factorization of 15415
| 5 | 15415 |
| 3083 | 3083 |
| 1 |
Prime factors of 15415 are 5,3083. Prime factorization of 15415 in exponential form is:
15415 = 51×30831
Now multiplying the highest exponent prime factors to calculate the LCM of 15407 and 15415.
LCM(15407,15415) = 51×71×311×711×30831
LCM(15407,15415) = 237498905
Factors of 15407
List of positive integer factors of 15407 that divides 15407 without a remainder.
1, 7, 31, 71, 217, 497, 2201, 15407
Factors of 15415
List of positive integer factors of 15415 that divides 15415 without a remainder.
1, 5, 3083, 15415
Least Common Multiple of 15407 and 15415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15407 and 15415, than apply into the LCM equation.
GCF(15407,15415) = 1
LCM(15407,15415) = ( 15407 × 15415) / 1
LCM(15407,15415) = 237498905 / 1
LCM(15407,15415) = 237498905
Properties of LCM 15407 and 15415
(i) The LCM of 15415 and 15407 is associative
LCM of 15407 and 15415 = LCM of 15415 and 15407
Related Least Common Multiples of 15407
Related Least Common Multiples of 15415
Frequently Asked Questions on LCM of 15407 and 15415
1. What is the LCM of 15407 and 15415?
Answer: LCM of 15407 and 15415 is 237498905.
2. What are the Factors of 15407?
Answer: Factors of 15407 are 1, 7, 31, 71, 217, 497, 2201, 15407. There are 8 integers that are factors of 15407. The greatest factor of 15407 is 15407.
3. What are the Factors of 15415?
Answer: Factors of 15415 are 1, 5, 3083, 15415. There are 4 integers that are factors of 15415. The greatest factor of 15415 is 15415.
4. How to Find the LCM of 15407 and 15415?
Answer:
Least Common Multiple of 15407 and 15415 = 237498905
Step 1: Find the prime factorization of 15407
15407 = 7 x 31 x 71
Step 2: Find the prime factorization of 15415
15415 = 5 x 3083
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 237498905 = 5 x 7 x 31 x 71 x 3083
Step 4: Therefore, the least common multiple of 15407 and 15415 is 237498905.