Least Common Multiple of 15413 and 15418
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15413 and 15418 the smallest integer that is 237637634 that is divisible by both numbers.
Least Common Multiple (LCM) of 15413 and 15418 is 237637634.
LCM(15413,15418) = 237637634
LCM of 15413 and 15418
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15413 and 15418 by Prime method
- Least Common Multiple of 15413 and 15418 with GCF Formula
LCM of 15413 and 15418 is 237637634
Least common multiple can be found by multiplying the highest exponent prime factors of 15413 and 15418. First we will calculate the prime factors of 15413 and 15418.
Prime Factorization of 15413
| 15413 | 15413 |
| 1 |
Prime factors of 15413 are 15413. Prime factorization of 15413 in exponential form is:
15413 = 154131
Prime Factorization of 15418
| 2 | 15418 |
| 13 | 7709 |
| 593 | 593 |
| 1 |
Prime factors of 15418 are 2, 13,593. Prime factorization of 15418 in exponential form is:
15418 = 21×131×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 15413 and 15418.
LCM(15413,15418) = 21×131×5931×154131
LCM(15413,15418) = 237637634
Factors of 15413
List of positive integer factors of 15413 that divides 15413 without a remainder.
1, 15413
Factors of 15418
List of positive integer factors of 15418 that divides 15418 without a remainder.
1, 2, 13, 26, 593, 1186, 7709, 15418
Least Common Multiple of 15413 and 15418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15413 and 15418, than apply into the LCM equation.
GCF(15413,15418) = 1
LCM(15413,15418) = ( 15413 × 15418) / 1
LCM(15413,15418) = 237637634 / 1
LCM(15413,15418) = 237637634
Properties of LCM 15413 and 15418
(i) The LCM of 15418 and 15413 is associative
LCM of 15413 and 15418 = LCM of 15418 and 15413
Related Least Common Multiples of 15413
Related Least Common Multiples of 15418
Frequently Asked Questions on LCM of 15413 and 15418
1. What is the LCM of 15413 and 15418?
Answer: LCM of 15413 and 15418 is 237637634.
2. What are the Factors of 15413?
Answer: Factors of 15413 are 1, 15413. There are 2 integers that are factors of 15413. The greatest factor of 15413 is 15413.
3. What are the Factors of 15418?
Answer: Factors of 15418 are 1, 2, 13, 26, 593, 1186, 7709, 15418. There are 8 integers that are factors of 15418. The greatest factor of 15418 is 15418.
4. How to Find the LCM of 15413 and 15418?
Answer:
Least Common Multiple of 15413 and 15418 = 237637634
Step 1: Find the prime factorization of 15413
15413 = 15413
Step 2: Find the prime factorization of 15418
15418 = 2 x 13 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 237637634 = 2 x 13 x 593 x 15413
Step 4: Therefore, the least common multiple of 15413 and 15418 is 237637634.