Least Common Multiple of 17229 and 17233
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17229 and 17233 the smallest integer that is 296907357 that is divisible by both numbers.
Least Common Multiple (LCM) of 17229 and 17233 is 296907357.
LCM(17229,17233) = 296907357
LCM of 17229 and 17233
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17229 and 17233 by Prime method
- Least Common Multiple of 17229 and 17233 with GCF Formula
LCM of 17229 and 17233 is 296907357
Least common multiple can be found by multiplying the highest exponent prime factors of 17229 and 17233. First we will calculate the prime factors of 17229 and 17233.
Prime Factorization of 17229
| 3 | 17229 |
| 5743 | 5743 |
| 1 |
Prime factors of 17229 are 3,5743. Prime factorization of 17229 in exponential form is:
17229 = 31×57431
Prime Factorization of 17233
| 19 | 17233 |
| 907 | 907 |
| 1 |
Prime factors of 17233 are 19,907. Prime factorization of 17233 in exponential form is:
17233 = 191×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 17229 and 17233.
LCM(17229,17233) = 31×191×9071×57431
LCM(17229,17233) = 296907357
Factors of 17229
List of positive integer factors of 17229 that divides 17229 without a remainder.
1, 3, 5743, 17229
Factors of 17233
List of positive integer factors of 17233 that divides 17233 without a remainder.
1, 19, 907, 17233
Least Common Multiple of 17229 and 17233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17229 and 17233, than apply into the LCM equation.
GCF(17229,17233) = 1
LCM(17229,17233) = ( 17229 × 17233) / 1
LCM(17229,17233) = 296907357 / 1
LCM(17229,17233) = 296907357
Properties of LCM 17229 and 17233
(i) The LCM of 17233 and 17229 is associative
LCM of 17229 and 17233 = LCM of 17233 and 17229
Related Least Common Multiples of 17229
Related Least Common Multiples of 17233
Frequently Asked Questions on LCM of 17229 and 17233
1. What is the LCM of 17229 and 17233?
Answer: LCM of 17229 and 17233 is 296907357.
2. What are the Factors of 17229?
Answer: Factors of 17229 are 1, 3, 5743, 17229. There are 4 integers that are factors of 17229. The greatest factor of 17229 is 17229.
3. What are the Factors of 17233?
Answer: Factors of 17233 are 1, 19, 907, 17233. There are 4 integers that are factors of 17233. The greatest factor of 17233 is 17233.
4. How to Find the LCM of 17229 and 17233?
Answer:
Least Common Multiple of 17229 and 17233 = 296907357
Step 1: Find the prime factorization of 17229
17229 = 3 x 5743
Step 2: Find the prime factorization of 17233
17233 = 19 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296907357 = 3 x 19 x 907 x 5743
Step 4: Therefore, the least common multiple of 17229 and 17233 is 296907357.