Least Common Multiple of 4769 and 4773
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 4773 the smallest integer that is 22762437 that is divisible by both numbers.
Least Common Multiple (LCM) of 4769 and 4773 is 22762437.
LCM(4769,4773) = 22762437
LCM of 4769 and 4773
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4769 and 4773 by Prime method
- Least Common Multiple of 4769 and 4773 with GCF Formula
LCM of 4769 and 4773 is 22762437
Least common multiple can be found by multiplying the highest exponent prime factors of 4769 and 4773. First we will calculate the prime factors of 4769 and 4773.
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 4773
| 3 | 4773 |
| 37 | 1591 |
| 43 | 43 |
| 1 |
Prime factors of 4773 are 3, 37,43. Prime factorization of 4773 in exponential form is:
4773 = 31×371×431
Now multiplying the highest exponent prime factors to calculate the LCM of 4769 and 4773.
LCM(4769,4773) = 31×191×371×431×2511
LCM(4769,4773) = 22762437
Factors of 4769
List of positive integer factors of 4769 that divides 4769 without a remainder.
1, 19, 251, 4769
Factors of 4773
List of positive integer factors of 4773 that divides 4773 without a remainder.
1, 3, 37, 43, 111, 129, 1591, 4773
Least Common Multiple of 4769 and 4773 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 4773, than apply into the LCM equation.
GCF(4769,4773) = 1
LCM(4769,4773) = ( 4769 × 4773) / 1
LCM(4769,4773) = 22762437 / 1
LCM(4769,4773) = 22762437
Properties of LCM 4769 and 4773
(i) The LCM of 4773 and 4769 is associative
LCM of 4769 and 4773 = LCM of 4773 and 4769
Related Least Common Multiples of 4769
Related Least Common Multiples of 4773
Frequently Asked Questions on LCM of 4769 and 4773
1. What is the LCM of 4769 and 4773?
Answer: LCM of 4769 and 4773 is 22762437.
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 4773?
Answer: Factors of 4773 are 1, 3, 37, 43, 111, 129, 1591, 4773. There are 8 integers that are factors of 4773. The greatest factor of 4773 is 4773.
4. How to Find the LCM of 4769 and 4773?
Answer:
Least Common Multiple of 4769 and 4773 = 22762437
Step 1: Find the prime factorization of 4769
4769 = 19 x 251
Step 2: Find the prime factorization of 4773
4773 = 3 x 37 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22762437 = 3 x 19 x 37 x 43 x 251
Step 4: Therefore, the least common multiple of 4769 and 4773 is 22762437.