Least Common Multiple of 4767 and 4774
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4767 and 4774 the smallest integer that is 3251094 that is divisible by both numbers.
Least Common Multiple (LCM) of 4767 and 4774 is 3251094.
LCM(4767,4774) = 3251094
LCM of 4767 and 4774
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4767 and 4774 by Prime method
- Least Common Multiple of 4767 and 4774 with GCF Formula
LCM of 4767 and 4774 is 3251094
Least common multiple can be found by multiplying the highest exponent prime factors of 4767 and 4774. First we will calculate the prime factors of 4767 and 4774.
Prime Factorization of 4767
| 3 | 4767 |
| 7 | 1589 |
| 227 | 227 |
| 1 |
Prime factors of 4767 are 3, 7,227. Prime factorization of 4767 in exponential form is:
4767 = 31×71×2271
Prime Factorization of 4774
| 2 | 4774 |
| 7 | 2387 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 4774 are 2, 7, 11,31. Prime factorization of 4774 in exponential form is:
4774 = 21×71×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4767 and 4774.
LCM(4767,4774) = 21×31×71×111×311×2271
LCM(4767,4774) = 3251094
Factors of 4767
List of positive integer factors of 4767 that divides 4767 without a remainder.
1, 3, 7, 21, 227, 681, 1589, 4767
Factors of 4774
List of positive integer factors of 4774 that divides 4774 without a remainder.
1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774
Least Common Multiple of 4767 and 4774 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4767 and 4774, than apply into the LCM equation.
GCF(4767,4774) = 7
LCM(4767,4774) = ( 4767 × 4774) / 7
LCM(4767,4774) = 22757658 / 7
LCM(4767,4774) = 3251094
Properties of LCM 4767 and 4774
(i) The LCM of 4774 and 4767 is associative
LCM of 4767 and 4774 = LCM of 4774 and 4767
Related Least Common Multiples of 4767
Related Least Common Multiples of 4774
Frequently Asked Questions on LCM of 4767 and 4774
1. What is the LCM of 4767 and 4774?
Answer: LCM of 4767 and 4774 is 3251094.
2. What are the Factors of 4767?
Answer: Factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767. There are 8 integers that are factors of 4767. The greatest factor of 4767 is 4767.
3. What are the Factors of 4774?
Answer: Factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774. There are 16 integers that are factors of 4774. The greatest factor of 4774 is 4774.
4. How to Find the LCM of 4767 and 4774?
Answer:
Least Common Multiple of 4767 and 4774 = 3251094
Step 1: Find the prime factorization of 4767
4767 = 3 x 7 x 227
Step 2: Find the prime factorization of 4774
4774 = 2 x 7 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3251094 = 2 x 3 x 7 x 11 x 31 x 227
Step 4: Therefore, the least common multiple of 4767 and 4774 is 3251094.