Least Common Multiple of 4773 and 4781
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 4781 the smallest integer that is 22819713 that is divisible by both numbers.
Least Common Multiple (LCM) of 4773 and 4781 is 22819713.
LCM(4773,4781) = 22819713
LCM of 4773 and 4781
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4773 and 4781 by Prime method
- Least Common Multiple of 4773 and 4781 with GCF Formula
LCM of 4773 and 4781 is 22819713
Least common multiple can be found by multiplying the highest exponent prime factors of 4773 and 4781. First we will calculate the prime factors of 4773 and 4781.
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 4781
| 7 | 4781 |
| 683 | 683 |
| 1 |
Prime factors of 4781 are 7,683. Prime factorization of 4781 in exponential form is:
4781 = 71×6831
Now multiplying the highest exponent prime factors to calculate the LCM of 4773 and 4781.
LCM(4773,4781) = 31×71×371×431×6831
LCM(4773,4781) = 22819713
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 4781
List of positive integer factors of 4781 that divides 4781 without a remainder.
1, 7, 683, 4781
Least Common Multiple of 4773 and 4781 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 4781, than apply into the LCM equation.
GCF(4773,4781) = 1
LCM(4773,4781) = ( 4773 × 4781) / 1
LCM(4773,4781) = 22819713 / 1
LCM(4773,4781) = 22819713
Properties of LCM 4773 and 4781
(i) The LCM of 4781 and 4773 is associative
LCM of 4773 and 4781 = LCM of 4781 and 4773
Related Least Common Multiples of 4773
Related Least Common Multiples of 4781
Frequently Asked Questions on LCM of 4773 and 4781
1. What is the LCM of 4773 and 4781?
Answer: LCM of 4773 and 4781 is 22819713.
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 4781?
Answer: Factors of 4781 are 1, 7, 683, 4781. There are 4 integers that are factors of 4781. The greatest factor of 4781 is 4781.
4. How to Find the LCM of 4773 and 4781?
Answer:
Least Common Multiple of 4773 and 4781 = 22819713
Step 1: Find the prime factorization of 4773
4773 = 3 x 37 x 43
Step 2: Find the prime factorization of 4781
4781 = 7 x 683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22819713 = 3 x 7 x 37 x 43 x 683
Step 4: Therefore, the least common multiple of 4773 and 4781 is 22819713.