Least Common Multiple of 4769 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 4769 and 4774 the smallest integer that is 22767206 that is divisible by both numbers.
Least Common Multiple (LCM) of 4769 and 4774 is 22767206.
LCM(4769,4774) = 22767206
LCM of 4769 and 4774
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4769 and 4774 by Prime method
- Least Common Multiple of 4769 and 4774 with GCF Formula
LCM of 4769 and 4774 is 22767206
Least common multiple can be found by multiplying the highest exponent prime factors of 4769 and 4774. First we will calculate the prime factors of 4769 and 4774.
Prime Factorization of 4769
| 19 | 4769 |
| 251 | 251 |
| 1 |
Prime factors of 4769 are 19,251. Prime factorization of 4769 in exponential form is:
4769 = 191×2511
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 4769 and 4774.
LCM(4769,4774) = 21×71×111×191×311×2511
LCM(4769,4774) = 22767206
Factors of 4769
List of positive integer factors of 4769 that divides 4769 without a remainder.
1, 19, 251, 4769
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 4769 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 4769 and 4774, than apply into the LCM equation.
GCF(4769,4774) = 1
LCM(4769,4774) = ( 4769 × 4774) / 1
LCM(4769,4774) = 22767206 / 1
LCM(4769,4774) = 22767206
Properties of LCM 4769 and 4774
(i) The LCM of 4774 and 4769 is associative
LCM of 4769 and 4774 = LCM of 4774 and 4769
Related Least Common Multiples of 4769
Related Least Common Multiples of 4774
Frequently Asked Questions on LCM of 4769 and 4774
1. What is the LCM of 4769 and 4774?
Answer: LCM of 4769 and 4774 is 22767206.
2. What are the Factors of 4769?
Answer: Factors of 4769 are 1, 19, 251, 4769. There are 4 integers that are factors of 4769. The greatest factor of 4769 is 4769.
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 4769 and 4774?
Answer:
Least Common Multiple of 4769 and 4774 = 22767206
Step 1: Find the prime factorization of 4769
4769 = 19 x 251
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 = 22767206 = 2 x 7 x 11 x 19 x 31 x 251
Step 4: Therefore, the least common multiple of 4769 and 4774 is 22767206.