Least Common Multiple of 4788 and 4793
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4788 and 4793 the smallest integer that is 22948884 that is divisible by both numbers.
Least Common Multiple (LCM) of 4788 and 4793 is 22948884.
LCM(4788,4793) = 22948884
LCM of 4788 and 4793
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4788 and 4793 by Prime method
- Least Common Multiple of 4788 and 4793 with GCF Formula
LCM of 4788 and 4793 is 22948884
Least common multiple can be found by multiplying the highest exponent prime factors of 4788 and 4793. First we will calculate the prime factors of 4788 and 4793.
Prime Factorization of 4788
| 2 | 4788 |
| 2 | 2394 |
| 3 | 1197 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 4788 are 2, 3, 7,19. Prime factorization of 4788 in exponential form is:
4788 = 22×32×71×191
Prime Factorization of 4793
| 4793 | 4793 |
| 1 |
Prime factors of 4793 are 4793. Prime factorization of 4793 in exponential form is:
4793 = 47931
Now multiplying the highest exponent prime factors to calculate the LCM of 4788 and 4793.
LCM(4788,4793) = 22×32×71×191×47931
LCM(4788,4793) = 22948884
Factors of 4788
List of positive integer factors of 4788 that divides 4788 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788
Factors of 4793
List of positive integer factors of 4793 that divides 4793 without a remainder.
1, 4793
Least Common Multiple of 4788 and 4793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4788 and 4793, than apply into the LCM equation.
GCF(4788,4793) = 1
LCM(4788,4793) = ( 4788 × 4793) / 1
LCM(4788,4793) = 22948884 / 1
LCM(4788,4793) = 22948884
Properties of LCM 4788 and 4793
(i) The LCM of 4793 and 4788 is associative
LCM of 4788 and 4793 = LCM of 4793 and 4788
Related Least Common Multiples of 4788
Related Least Common Multiples of 4793
Frequently Asked Questions on LCM of 4788 and 4793
1. What is the LCM of 4788 and 4793?
Answer: LCM of 4788 and 4793 is 22948884.
2. What are the Factors of 4788?
Answer: Factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788. There are 36 integers that are factors of 4788. The greatest factor of 4788 is 4788.
3. What are the Factors of 4793?
Answer: Factors of 4793 are 1, 4793. There are 2 integers that are factors of 4793. The greatest factor of 4793 is 4793.
4. How to Find the LCM of 4788 and 4793?
Answer:
Least Common Multiple of 4788 and 4793 = 22948884
Step 1: Find the prime factorization of 4788
4788 = 2 x 2 x 3 x 3 x 7 x 19
Step 2: Find the prime factorization of 4793
4793 = 4793
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22948884 = 2 x 2 x 3 x 3 x 7 x 19 x 4793
Step 4: Therefore, the least common multiple of 4788 and 4793 is 22948884.