Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5223 and 5229 the smallest integer that is 9103689 that is divisible by both numbers.
Least Common Multiple (LCM) of 5223 and 5229 is 9103689.
LCM(5223,5229) = 9103689
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 5223 and 5229. First we will calculate the prime factors of 5223 and 5229.
Prime Factorization of 5223
3 | 5223 |
1741 | 1741 |
1 |
Prime factors of 5223 are 3,1741. Prime factorization of 5223 in exponential form is:
5223 = 31×17411
Prime Factorization of 5229
3 | 5229 |
3 | 1743 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 5229 are 3, 7,83. Prime factorization of 5229 in exponential form is:
5229 = 32×71×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5223 and 5229.
LCM(5223,5229) = 32×71×831×17411
LCM(5223,5229) = 9103689
Factors of 5223
List of positive integer factors of 5223 that divides 5223 without a remainder.
1, 3, 1741, 5223
Factors of 5229
List of positive integer factors of 5229 that divides 5229 without a remainder.
1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5223 and 5229, than apply into the LCM equation.
GCF(5223,5229) = 3
LCM(5223,5229) = ( 5223 × 5229) / 3
LCM(5223,5229) = 27311067 / 3
LCM(5223,5229) = 9103689
(i) The LCM of 5229 and 5223 is associative
LCM of 5223 and 5229 = LCM of 5229 and 5223
1. What is the LCM of 5223 and 5229?
Answer: LCM of 5223 and 5229 is 9103689.
2. What are the Factors of 5223?
Answer: Factors of 5223 are 1, 3, 1741, 5223. There are 4 integers that are factors of 5223. The greatest factor of 5223 is 5223.
3. What are the Factors of 5229?
Answer: Factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229. There are 12 integers that are factors of 5229. The greatest factor of 5229 is 5229.
4. How to Find the LCM of 5223 and 5229?
Answer:
Least Common Multiple of 5223 and 5229 = 9103689
Step 1: Find the prime factorization of 5223
5223 = 3 x 1741
Step 2: Find the prime factorization of 5229
5229 = 3 x 3 x 7 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9103689 = 3 x 3 x 7 x 83 x 1741
Step 4: Therefore, the least common multiple of 5223 and 5229 is 9103689.