Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15418 and 15424 the smallest integer that is 118903616 that is divisible by both numbers.
Least Common Multiple (LCM) of 15418 and 15424 is 118903616.
LCM(15418,15424) = 118903616
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 15418 and 15424. First we will calculate the prime factors of 15418 and 15424.
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
Prime Factorization of 15424
2 | 15424 |
2 | 7712 |
2 | 3856 |
2 | 1928 |
2 | 964 |
2 | 482 |
241 | 241 |
1 |
Prime factors of 15424 are 2,241. Prime factorization of 15424 in exponential form is:
15424 = 26×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 15418 and 15424.
LCM(15418,15424) = 26×131×2411×5931
LCM(15418,15424) = 118903616
Factors of 15418
List of positive integer factors of 15418 that divides 15418 without a remainder.
1, 2, 13, 26, 593, 1186, 7709, 15418
Factors of 15424
List of positive integer factors of 15424 that divides 15424 without a remainder.
1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15418 and 15424, than apply into the LCM equation.
GCF(15418,15424) = 2
LCM(15418,15424) = ( 15418 × 15424) / 2
LCM(15418,15424) = 237807232 / 2
LCM(15418,15424) = 118903616
(i) The LCM of 15424 and 15418 is associative
LCM of 15418 and 15424 = LCM of 15424 and 15418
1. What is the LCM of 15418 and 15424?
Answer: LCM of 15418 and 15424 is 118903616.
2. 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.
3. What are the Factors of 15424?
Answer: Factors of 15424 are 1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424. There are 14 integers that are factors of 15424. The greatest factor of 15424 is 15424.
4. How to Find the LCM of 15418 and 15424?
Answer:
Least Common Multiple of 15418 and 15424 = 118903616
Step 1: Find the prime factorization of 15418
15418 = 2 x 13 x 593
Step 2: Find the prime factorization of 15424
15424 = 2 x 2 x 2 x 2 x 2 x 2 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 = 118903616 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 241 x 593
Step 4: Therefore, the least common multiple of 15418 and 15424 is 118903616.