Least Common Multiple of 4773 and 4777
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4773 and 4777 the smallest integer that is 22800621 that is divisible by both numbers.
Least Common Multiple (LCM) of 4773 and 4777 is 22800621.
LCM(4773,4777) = 22800621
LCM of 4773 and 4777
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4773 and 4777 by Prime method
- Least Common Multiple of 4773 and 4777 with GCF Formula
LCM of 4773 and 4777 is 22800621
Least common multiple can be found by multiplying the highest exponent prime factors of 4773 and 4777. First we will calculate the prime factors of 4773 and 4777.
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
Prime Factorization of 4777
| 17 | 4777 |
| 281 | 281 |
| 1 |
Prime factors of 4777 are 17,281. Prime factorization of 4777 in exponential form is:
4777 = 171×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 4773 and 4777.
LCM(4773,4777) = 31×171×371×431×2811
LCM(4773,4777) = 22800621
Factors of 4773
List of positive integer factors of 4773 that divides 4773 without a remainder.
1, 3, 37, 43, 111, 129, 1591, 4773
Factors of 4777
List of positive integer factors of 4777 that divides 4777 without a remainder.
1, 17, 281, 4777
Least Common Multiple of 4773 and 4777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4773 and 4777, than apply into the LCM equation.
GCF(4773,4777) = 1
LCM(4773,4777) = ( 4773 × 4777) / 1
LCM(4773,4777) = 22800621 / 1
LCM(4773,4777) = 22800621
Properties of LCM 4773 and 4777
(i) The LCM of 4777 and 4773 is associative
LCM of 4773 and 4777 = LCM of 4777 and 4773
Related Least Common Multiples of 4773
Related Least Common Multiples of 4777
Frequently Asked Questions on LCM of 4773 and 4777
1. What is the LCM of 4773 and 4777?
Answer: LCM of 4773 and 4777 is 22800621.
2. 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.
3. What are the Factors of 4777?
Answer: Factors of 4777 are 1, 17, 281, 4777. There are 4 integers that are factors of 4777. The greatest factor of 4777 is 4777.
4. How to Find the LCM of 4773 and 4777?
Answer:
Least Common Multiple of 4773 and 4777 = 22800621
Step 1: Find the prime factorization of 4773
4773 = 3 x 37 x 43
Step 2: Find the prime factorization of 4777
4777 = 17 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22800621 = 3 x 17 x 37 x 43 x 281
Step 4: Therefore, the least common multiple of 4773 and 4777 is 22800621.