Least Common Multiple of 4933 and 4940
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4933 and 4940 the smallest integer that is 24369020 that is divisible by both numbers.
Least Common Multiple (LCM) of 4933 and 4940 is 24369020.
LCM(4933,4940) = 24369020
LCM of 4933 and 4940
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4933 and 4940 by Prime method
- Least Common Multiple of 4933 and 4940 with GCF Formula
LCM of 4933 and 4940 is 24369020
Least common multiple can be found by multiplying the highest exponent prime factors of 4933 and 4940. First we will calculate the prime factors of 4933 and 4940.
Prime Factorization of 4933
| 4933 | 4933 |
| 1 |
Prime factors of 4933 are 4933. Prime factorization of 4933 in exponential form is:
4933 = 49331
Prime Factorization of 4940
| 2 | 4940 |
| 2 | 2470 |
| 5 | 1235 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 4940 are 2, 5, 13,19. Prime factorization of 4940 in exponential form is:
4940 = 22×51×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 4933 and 4940.
LCM(4933,4940) = 22×51×131×191×49331
LCM(4933,4940) = 24369020
Factors of 4933
List of positive integer factors of 4933 that divides 4933 without a remainder.
1, 4933
Factors of 4940
List of positive integer factors of 4940 that divides 4940 without a remainder.
1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
Least Common Multiple of 4933 and 4940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4933 and 4940, than apply into the LCM equation.
GCF(4933,4940) = 1
LCM(4933,4940) = ( 4933 × 4940) / 1
LCM(4933,4940) = 24369020 / 1
LCM(4933,4940) = 24369020
Properties of LCM 4933 and 4940
(i) The LCM of 4940 and 4933 is associative
LCM of 4933 and 4940 = LCM of 4940 and 4933
Related Least Common Multiples of 4933
Related Least Common Multiples of 4940
Frequently Asked Questions on LCM of 4933 and 4940
1. What is the LCM of 4933 and 4940?
Answer: LCM of 4933 and 4940 is 24369020.
2. What are the Factors of 4933?
Answer: Factors of 4933 are 1, 4933. There are 2 integers that are factors of 4933. The greatest factor of 4933 is 4933.
3. What are the Factors of 4940?
Answer: Factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940. There are 24 integers that are factors of 4940. The greatest factor of 4940 is 4940.
4. How to Find the LCM of 4933 and 4940?
Answer:
Least Common Multiple of 4933 and 4940 = 24369020
Step 1: Find the prime factorization of 4933
4933 = 4933
Step 2: Find the prime factorization of 4940
4940 = 2 x 2 x 5 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24369020 = 2 x 2 x 5 x 13 x 19 x 4933
Step 4: Therefore, the least common multiple of 4933 and 4940 is 24369020.