Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4781 and 4786 the smallest integer that is 22881866 that is divisible by both numbers.
Least Common Multiple (LCM) of 4781 and 4786 is 22881866.
LCM(4781,4786) = 22881866
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4781 and 4786. First we will calculate the prime factors of 4781 and 4786.
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
Prime Factorization of 4786
2 | 4786 |
2393 | 2393 |
1 |
Prime factors of 4786 are 2,2393. Prime factorization of 4786 in exponential form is:
4786 = 21×23931
Now multiplying the highest exponent prime factors to calculate the LCM of 4781 and 4786.
LCM(4781,4786) = 21×71×6831×23931
LCM(4781,4786) = 22881866
Factors of 4781
List of positive integer factors of 4781 that divides 4781 without a remainder.
1, 7, 683, 4781
Factors of 4786
List of positive integer factors of 4786 that divides 4786 without a remainder.
1, 2, 2393, 4786
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4781 and 4786, than apply into the LCM equation.
GCF(4781,4786) = 1
LCM(4781,4786) = ( 4781 × 4786) / 1
LCM(4781,4786) = 22881866 / 1
LCM(4781,4786) = 22881866
(i) The LCM of 4786 and 4781 is associative
LCM of 4781 and 4786 = LCM of 4786 and 4781
1. What is the LCM of 4781 and 4786?
Answer: LCM of 4781 and 4786 is 22881866.
2. 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.
3. What are the Factors of 4786?
Answer: Factors of 4786 are 1, 2, 2393, 4786. There are 4 integers that are factors of 4786. The greatest factor of 4786 is 4786.
4. How to Find the LCM of 4781 and 4786?
Answer:
Least Common Multiple of 4781 and 4786 = 22881866
Step 1: Find the prime factorization of 4781
4781 = 7 x 683
Step 2: Find the prime factorization of 4786
4786 = 2 x 2393
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22881866 = 2 x 7 x 683 x 2393
Step 4: Therefore, the least common multiple of 4781 and 4786 is 22881866.