Least Common Multiple of 15401 and 15407
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15401 and 15407 the smallest integer that is 237283207 that is divisible by both numbers.
Least Common Multiple (LCM) of 15401 and 15407 is 237283207.
LCM(15401,15407) = 237283207
LCM of 15401 and 15407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15401 and 15407 by Prime method
- Least Common Multiple of 15401 and 15407 with GCF Formula
LCM of 15401 and 15407 is 237283207
Least common multiple can be found by multiplying the highest exponent prime factors of 15401 and 15407. First we will calculate the prime factors of 15401 and 15407.
Prime Factorization of 15401
| 15401 | 15401 |
| 1 |
Prime factors of 15401 are 15401. Prime factorization of 15401 in exponential form is:
15401 = 154011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 15401 and 15407.
LCM(15401,15407) = 71×311×711×154011
LCM(15401,15407) = 237283207
Factors of 15401
List of positive integer factors of 15401 that divides 15401 without a remainder.
1, 15401
Factors of 15407
List of positive integer factors of 15407 that divides 15407 without a remainder.
1, 7, 31, 71, 217, 497, 2201, 15407
Least Common Multiple of 15401 and 15407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15401 and 15407, than apply into the LCM equation.
GCF(15401,15407) = 1
LCM(15401,15407) = ( 15401 × 15407) / 1
LCM(15401,15407) = 237283207 / 1
LCM(15401,15407) = 237283207
Properties of LCM 15401 and 15407
(i) The LCM of 15407 and 15401 is associative
LCM of 15401 and 15407 = LCM of 15407 and 15401
Related Least Common Multiples of 15401
Related Least Common Multiples of 15407
Frequently Asked Questions on LCM of 15401 and 15407
1. What is the LCM of 15401 and 15407?
Answer: LCM of 15401 and 15407 is 237283207.
2. What are the Factors of 15401?
Answer: Factors of 15401 are 1, 15401. There are 2 integers that are factors of 15401. The greatest factor of 15401 is 15401.
3. 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.
4. How to Find the LCM of 15401 and 15407?
Answer:
Least Common Multiple of 15401 and 15407 = 237283207
Step 1: Find the prime factorization of 15401
15401 = 15401
Step 2: Find the prime factorization of 15407
15407 = 7 x 31 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 237283207 = 7 x 31 x 71 x 15401
Step 4: Therefore, the least common multiple of 15401 and 15407 is 237283207.