Least Common Multiple of 4229 and 4233
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4229 and 4233 the smallest integer that is 17901357 that is divisible by both numbers.
Least Common Multiple (LCM) of 4229 and 4233 is 17901357.
LCM(4229,4233) = 17901357
LCM of 4229 and 4233
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4229 and 4233 by Prime method
- Least Common Multiple of 4229 and 4233 with GCF Formula
LCM of 4229 and 4233 is 17901357
Least common multiple can be found by multiplying the highest exponent prime factors of 4229 and 4233. First we will calculate the prime factors of 4229 and 4233.
Prime Factorization of 4229
| 4229 | 4229 |
| 1 |
Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:
4229 = 42291
Prime Factorization of 4233
| 3 | 4233 |
| 17 | 1411 |
| 83 | 83 |
| 1 |
Prime factors of 4233 are 3, 17,83. Prime factorization of 4233 in exponential form is:
4233 = 31×171×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4229 and 4233.
LCM(4229,4233) = 31×171×831×42291
LCM(4229,4233) = 17901357
Factors of 4229
List of positive integer factors of 4229 that divides 4229 without a remainder.
1, 4229
Factors of 4233
List of positive integer factors of 4233 that divides 4233 without a remainder.
1, 3, 17, 51, 83, 249, 1411, 4233
Least Common Multiple of 4229 and 4233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4229 and 4233, than apply into the LCM equation.
GCF(4229,4233) = 1
LCM(4229,4233) = ( 4229 × 4233) / 1
LCM(4229,4233) = 17901357 / 1
LCM(4229,4233) = 17901357
Properties of LCM 4229 and 4233
(i) The LCM of 4233 and 4229 is associative
LCM of 4229 and 4233 = LCM of 4233 and 4229
Related Least Common Multiples of 4229
Related Least Common Multiples of 4233
Frequently Asked Questions on LCM of 4229 and 4233
1. What is the LCM of 4229 and 4233?
Answer: LCM of 4229 and 4233 is 17901357.
2. What are the Factors of 4229?
Answer: Factors of 4229 are 1, 4229. There are 2 integers that are factors of 4229. The greatest factor of 4229 is 4229.
3. What are the Factors of 4233?
Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.
4. How to Find the LCM of 4229 and 4233?
Answer:
Least Common Multiple of 4229 and 4233 = 17901357
Step 1: Find the prime factorization of 4229
4229 = 4229
Step 2: Find the prime factorization of 4233
4233 = 3 x 17 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 = 17901357 = 3 x 17 x 83 x 4229
Step 4: Therefore, the least common multiple of 4229 and 4233 is 17901357.