Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5219 and 5224 the smallest integer that is 27264056 that is divisible by both numbers.
Least Common Multiple (LCM) of 5219 and 5224 is 27264056.
LCM(5219,5224) = 27264056
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 5219 and 5224. First we will calculate the prime factors of 5219 and 5224.
Prime Factorization of 5219
17 | 5219 |
307 | 307 |
1 |
Prime factors of 5219 are 17,307. Prime factorization of 5219 in exponential form is:
5219 = 171×3071
Prime Factorization of 5224
2 | 5224 |
2 | 2612 |
2 | 1306 |
653 | 653 |
1 |
Prime factors of 5224 are 2,653. Prime factorization of 5224 in exponential form is:
5224 = 23×6531
Now multiplying the highest exponent prime factors to calculate the LCM of 5219 and 5224.
LCM(5219,5224) = 23×171×3071×6531
LCM(5219,5224) = 27264056
Factors of 5219
List of positive integer factors of 5219 that divides 5219 without a remainder.
1, 17, 307, 5219
Factors of 5224
List of positive integer factors of 5224 that divides 5224 without a remainder.
1, 2, 4, 8, 653, 1306, 2612, 5224
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5219 and 5224, than apply into the LCM equation.
GCF(5219,5224) = 1
LCM(5219,5224) = ( 5219 × 5224) / 1
LCM(5219,5224) = 27264056 / 1
LCM(5219,5224) = 27264056
(i) The LCM of 5224 and 5219 is associative
LCM of 5219 and 5224 = LCM of 5224 and 5219
1. What is the LCM of 5219 and 5224?
Answer: LCM of 5219 and 5224 is 27264056.
2. What are the Factors of 5219?
Answer: Factors of 5219 are 1, 17, 307, 5219. There are 4 integers that are factors of 5219. The greatest factor of 5219 is 5219.
3. What are the Factors of 5224?
Answer: Factors of 5224 are 1, 2, 4, 8, 653, 1306, 2612, 5224. There are 8 integers that are factors of 5224. The greatest factor of 5224 is 5224.
4. How to Find the LCM of 5219 and 5224?
Answer:
Least Common Multiple of 5219 and 5224 = 27264056
Step 1: Find the prime factorization of 5219
5219 = 17 x 307
Step 2: Find the prime factorization of 5224
5224 = 2 x 2 x 2 x 653
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27264056 = 2 x 2 x 2 x 17 x 307 x 653
Step 4: Therefore, the least common multiple of 5219 and 5224 is 27264056.