Least Common Multiple of 4331 and 4338
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4331 and 4338 the smallest integer that is 18787878 that is divisible by both numbers.
Least Common Multiple (LCM) of 4331 and 4338 is 18787878.
LCM(4331,4338) = 18787878
LCM of 4331 and 4338
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4331 and 4338 by Prime method
- Least Common Multiple of 4331 and 4338 with GCF Formula
LCM of 4331 and 4338 is 18787878
Least common multiple can be found by multiplying the highest exponent prime factors of 4331 and 4338. First we will calculate the prime factors of 4331 and 4338.
Prime Factorization of 4331
| 61 | 4331 |
| 71 | 71 |
| 1 |
Prime factors of 4331 are 61,71. Prime factorization of 4331 in exponential form is:
4331 = 611×711
Prime Factorization of 4338
| 2 | 4338 |
| 3 | 2169 |
| 3 | 723 |
| 241 | 241 |
| 1 |
Prime factors of 4338 are 2, 3,241. Prime factorization of 4338 in exponential form is:
4338 = 21×32×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 4331 and 4338.
LCM(4331,4338) = 21×32×611×711×2411
LCM(4331,4338) = 18787878
Factors of 4331
List of positive integer factors of 4331 that divides 4331 without a remainder.
1, 61, 71, 4331
Factors of 4338
List of positive integer factors of 4338 that divides 4338 without a remainder.
1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338
Least Common Multiple of 4331 and 4338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4331 and 4338, than apply into the LCM equation.
GCF(4331,4338) = 1
LCM(4331,4338) = ( 4331 × 4338) / 1
LCM(4331,4338) = 18787878 / 1
LCM(4331,4338) = 18787878
Properties of LCM 4331 and 4338
(i) The LCM of 4338 and 4331 is associative
LCM of 4331 and 4338 = LCM of 4338 and 4331
Related Least Common Multiples of 4331
Related Least Common Multiples of 4338
Frequently Asked Questions on LCM of 4331 and 4338
1. What is the LCM of 4331 and 4338?
Answer: LCM of 4331 and 4338 is 18787878.
2. What are the Factors of 4331?
Answer: Factors of 4331 are 1, 61, 71, 4331. There are 4 integers that are factors of 4331. The greatest factor of 4331 is 4331.
3. What are the Factors of 4338?
Answer: Factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338. There are 12 integers that are factors of 4338. The greatest factor of 4338 is 4338.
4. How to Find the LCM of 4331 and 4338?
Answer:
Least Common Multiple of 4331 and 4338 = 18787878
Step 1: Find the prime factorization of 4331
4331 = 61 x 71
Step 2: Find the prime factorization of 4338
4338 = 2 x 3 x 3 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18787878 = 2 x 3 x 3 x 61 x 71 x 241
Step 4: Therefore, the least common multiple of 4331 and 4338 is 18787878.