Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5419 and 5423 the smallest integer that is 29387237 that is divisible by both numbers.
Least Common Multiple (LCM) of 5419 and 5423 is 29387237.
LCM(5419,5423) = 29387237
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 5419 and 5423. First we will calculate the prime factors of 5419 and 5423.
Prime Factorization of 5419
5419 | 5419 |
1 |
Prime factors of 5419 are 5419. Prime factorization of 5419 in exponential form is:
5419 = 54191
Prime Factorization of 5423
11 | 5423 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 5423 are 11, 17,29. Prime factorization of 5423 in exponential form is:
5423 = 111×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 5419 and 5423.
LCM(5419,5423) = 111×171×291×54191
LCM(5419,5423) = 29387237
Factors of 5419
List of positive integer factors of 5419 that divides 5419 without a remainder.
1, 5419
Factors of 5423
List of positive integer factors of 5423 that divides 5423 without a remainder.
1, 11, 17, 29, 187, 319, 493, 5423
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5419 and 5423, than apply into the LCM equation.
GCF(5419,5423) = 1
LCM(5419,5423) = ( 5419 × 5423) / 1
LCM(5419,5423) = 29387237 / 1
LCM(5419,5423) = 29387237
(i) The LCM of 5423 and 5419 is associative
LCM of 5419 and 5423 = LCM of 5423 and 5419
1. What is the LCM of 5419 and 5423?
Answer: LCM of 5419 and 5423 is 29387237.
2. 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.
3. What are the Factors of 5423?
Answer: Factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423. There are 8 integers that are factors of 5423. The greatest factor of 5423 is 5423.
4. How to Find the LCM of 5419 and 5423?
Answer:
Least Common Multiple of 5419 and 5423 = 29387237
Step 1: Find the prime factorization of 5419
5419 = 5419
Step 2: Find the prime factorization of 5423
5423 = 11 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29387237 = 11 x 17 x 29 x 5419
Step 4: Therefore, the least common multiple of 5419 and 5423 is 29387237.