Least Common Multiple of 4769 and 4771
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 4771 the smallest integer that is 22752899 that is divisible by both numbers.
Least Common Multiple (LCM) of 4769 and 4771 is 22752899.
LCM(4769,4771) = 22752899
LCM of 4769 and 4771
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4769 and 4771 by Prime method
- Least Common Multiple of 4769 and 4771 with GCF Formula
LCM of 4769 and 4771 is 22752899
Least common multiple can be found by multiplying the highest exponent prime factors of 4769 and 4771. First we will calculate the prime factors of 4769 and 4771.
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 4771
| 13 | 4771 |
| 367 | 367 |
| 1 |
Prime factors of 4771 are 13,367. Prime factorization of 4771 in exponential form is:
4771 = 131×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 4769 and 4771.
LCM(4769,4771) = 131×191×2511×3671
LCM(4769,4771) = 22752899
Factors of 4769
List of positive integer factors of 4769 that divides 4769 without a remainder.
1, 19, 251, 4769
Factors of 4771
List of positive integer factors of 4771 that divides 4771 without a remainder.
1, 13, 367, 4771
Least Common Multiple of 4769 and 4771 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 4771, than apply into the LCM equation.
GCF(4769,4771) = 1
LCM(4769,4771) = ( 4769 × 4771) / 1
LCM(4769,4771) = 22752899 / 1
LCM(4769,4771) = 22752899
Properties of LCM 4769 and 4771
(i) The LCM of 4771 and 4769 is associative
LCM of 4769 and 4771 = LCM of 4771 and 4769
Related Least Common Multiples of 4769
Related Least Common Multiples of 4771
Frequently Asked Questions on LCM of 4769 and 4771
1. What is the LCM of 4769 and 4771?
Answer: LCM of 4769 and 4771 is 22752899.
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 4771?
Answer: Factors of 4771 are 1, 13, 367, 4771. There are 4 integers that are factors of 4771. The greatest factor of 4771 is 4771.
4. How to Find the LCM of 4769 and 4771?
Answer:
Least Common Multiple of 4769 and 4771 = 22752899
Step 1: Find the prime factorization of 4769
4769 = 19 x 251
Step 2: Find the prime factorization of 4771
4771 = 13 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22752899 = 13 x 19 x 251 x 367
Step 4: Therefore, the least common multiple of 4769 and 4771 is 22752899.
