Least Common Multiple of 17229 and 17237
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 17237 the smallest integer that is 296976273 that is divisible by both numbers.
Least Common Multiple (LCM) of 17229 and 17237 is 296976273.
LCM(17229,17237) = 296976273
LCM of 17229 and 17237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 17229 and 17237 by Prime method
- Least Common Multiple of 17229 and 17237 with GCF Formula
LCM of 17229 and 17237 is 296976273
Least common multiple can be found by multiplying the highest exponent prime factors of 17229 and 17237. First we will calculate the prime factors of 17229 and 17237.
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 17237
| 11 | 17237 |
| 1567 | 1567 |
| 1 |
Prime factors of 17237 are 11,1567. Prime factorization of 17237 in exponential form is:
17237 = 111×15671
Now multiplying the highest exponent prime factors to calculate the LCM of 17229 and 17237.
LCM(17229,17237) = 31×111×15671×57431
LCM(17229,17237) = 296976273
Factors of 17229
List of positive integer factors of 17229 that divides 17229 without a remainder.
1, 3, 5743, 17229
Factors of 17237
List of positive integer factors of 17237 that divides 17237 without a remainder.
1, 11, 1567, 17237
Least Common Multiple of 17229 and 17237 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 17237, than apply into the LCM equation.
GCF(17229,17237) = 1
LCM(17229,17237) = ( 17229 × 17237) / 1
LCM(17229,17237) = 296976273 / 1
LCM(17229,17237) = 296976273
Properties of LCM 17229 and 17237
(i) The LCM of 17237 and 17229 is associative
LCM of 17229 and 17237 = LCM of 17237 and 17229
Related Least Common Multiples of 17229
Related Least Common Multiples of 17237
Frequently Asked Questions on LCM of 17229 and 17237
1. What is the LCM of 17229 and 17237?
Answer: LCM of 17229 and 17237 is 296976273.
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 17237?
Answer: Factors of 17237 are 1, 11, 1567, 17237. There are 4 integers that are factors of 17237. The greatest factor of 17237 is 17237.
4. How to Find the LCM of 17229 and 17237?
Answer:
Least Common Multiple of 17229 and 17237 = 296976273
Step 1: Find the prime factorization of 17229
17229 = 3 x 5743
Step 2: Find the prime factorization of 17237
17237 = 11 x 1567
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 296976273 = 3 x 11 x 1567 x 5743
Step 4: Therefore, the least common multiple of 17229 and 17237 is 296976273.