Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5415 and 5419 the smallest integer that is 29343885 that is divisible by both numbers.
Least Common Multiple (LCM) of 5415 and 5419 is 29343885.
LCM(5415,5419) = 29343885
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 5415 and 5419. First we will calculate the prime factors of 5415 and 5419.
Prime Factorization of 5415
3 | 5415 |
5 | 1805 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 5415 are 3, 5,19. Prime factorization of 5415 in exponential form is:
5415 = 31×51×192
Prime Factorization of 5419
5419 | 5419 |
1 |
Prime factors of 5419 are 5419. Prime factorization of 5419 in exponential form is:
5419 = 54191
Now multiplying the highest exponent prime factors to calculate the LCM of 5415 and 5419.
LCM(5415,5419) = 31×51×192×54191
LCM(5415,5419) = 29343885
Factors of 5415
List of positive integer factors of 5415 that divides 5415 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415
Factors of 5419
List of positive integer factors of 5419 that divides 5419 without a remainder.
1, 5419
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5415 and 5419, than apply into the LCM equation.
GCF(5415,5419) = 1
LCM(5415,5419) = ( 5415 × 5419) / 1
LCM(5415,5419) = 29343885 / 1
LCM(5415,5419) = 29343885
(i) The LCM of 5419 and 5415 is associative
LCM of 5415 and 5419 = LCM of 5419 and 5415
1. What is the LCM of 5415 and 5419?
Answer: LCM of 5415 and 5419 is 29343885.
2. What are the Factors of 5415?
Answer: Factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415. There are 12 integers that are factors of 5415. The greatest factor of 5415 is 5415.
3. What are the Factors of 5419?
Answer: Factors of 5419 are 1, 5419. There are 2 integers that are factors of 5419. The greatest factor of 5419 is 5419.
4. How to Find the LCM of 5415 and 5419?
Answer:
Least Common Multiple of 5415 and 5419 = 29343885
Step 1: Find the prime factorization of 5415
5415 = 3 x 5 x 19 x 19
Step 2: Find the prime factorization of 5419
5419 = 5419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29343885 = 3 x 5 x 19 x 19 x 5419
Step 4: Therefore, the least common multiple of 5415 and 5419 is 29343885.