Least Common Multiple of 4329 and 4334
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4329 and 4334 the smallest integer that is 18761886 that is divisible by both numbers.
Least Common Multiple (LCM) of 4329 and 4334 is 18761886.
LCM(4329,4334) = 18761886
LCM of 4329 and 4334
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4329 and 4334 by Prime method
- Least Common Multiple of 4329 and 4334 with GCF Formula
LCM of 4329 and 4334 is 18761886
Least common multiple can be found by multiplying the highest exponent prime factors of 4329 and 4334. First we will calculate the prime factors of 4329 and 4334.
Prime Factorization of 4329
| 3 | 4329 |
| 3 | 1443 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 4329 are 3, 13,37. Prime factorization of 4329 in exponential form is:
4329 = 32×131×371
Prime Factorization of 4334
| 2 | 4334 |
| 11 | 2167 |
| 197 | 197 |
| 1 |
Prime factors of 4334 are 2, 11,197. Prime factorization of 4334 in exponential form is:
4334 = 21×111×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 4329 and 4334.
LCM(4329,4334) = 21×32×111×131×371×1971
LCM(4329,4334) = 18761886
Factors of 4329
List of positive integer factors of 4329 that divides 4329 without a remainder.
1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329
Factors of 4334
List of positive integer factors of 4334 that divides 4334 without a remainder.
1, 2, 11, 22, 197, 394, 2167, 4334
Least Common Multiple of 4329 and 4334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4329 and 4334, than apply into the LCM equation.
GCF(4329,4334) = 1
LCM(4329,4334) = ( 4329 × 4334) / 1
LCM(4329,4334) = 18761886 / 1
LCM(4329,4334) = 18761886
Properties of LCM 4329 and 4334
(i) The LCM of 4334 and 4329 is associative
LCM of 4329 and 4334 = LCM of 4334 and 4329
Related Least Common Multiples of 4329
Related Least Common Multiples of 4334
Frequently Asked Questions on LCM of 4329 and 4334
1. What is the LCM of 4329 and 4334?
Answer: LCM of 4329 and 4334 is 18761886.
2. What are the Factors of 4329?
Answer: Factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329. There are 12 integers that are factors of 4329. The greatest factor of 4329 is 4329.
3. What are the Factors of 4334?
Answer: Factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334. There are 8 integers that are factors of 4334. The greatest factor of 4334 is 4334.
4. How to Find the LCM of 4329 and 4334?
Answer:
Least Common Multiple of 4329 and 4334 = 18761886
Step 1: Find the prime factorization of 4329
4329 = 3 x 3 x 13 x 37
Step 2: Find the prime factorization of 4334
4334 = 2 x 11 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18761886 = 2 x 3 x 3 x 11 x 13 x 37 x 197
Step 4: Therefore, the least common multiple of 4329 and 4334 is 18761886.