Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4786 and 4793 the smallest integer that is 22939298 that is divisible by both numbers.
Least Common Multiple (LCM) of 4786 and 4793 is 22939298.
LCM(4786,4793) = 22939298
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 4786 and 4793. First we will calculate the prime factors of 4786 and 4793.
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
Prime Factorization of 4793
4793 | 4793 |
1 |
Prime factors of 4793 are 4793. Prime factorization of 4793 in exponential form is:
4793 = 47931
Now multiplying the highest exponent prime factors to calculate the LCM of 4786 and 4793.
LCM(4786,4793) = 21×23931×47931
LCM(4786,4793) = 22939298
Factors of 4786
List of positive integer factors of 4786 that divides 4786 without a remainder.
1, 2, 2393, 4786
Factors of 4793
List of positive integer factors of 4793 that divides 4793 without a remainder.
1, 4793
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4786 and 4793, than apply into the LCM equation.
GCF(4786,4793) = 1
LCM(4786,4793) = ( 4786 × 4793) / 1
LCM(4786,4793) = 22939298 / 1
LCM(4786,4793) = 22939298
(i) The LCM of 4793 and 4786 is associative
LCM of 4786 and 4793 = LCM of 4793 and 4786
1. What is the LCM of 4786 and 4793?
Answer: LCM of 4786 and 4793 is 22939298.
2. 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.
3. What are the Factors of 4793?
Answer: Factors of 4793 are 1, 4793. There are 2 integers that are factors of 4793. The greatest factor of 4793 is 4793.
4. How to Find the LCM of 4786 and 4793?
Answer:
Least Common Multiple of 4786 and 4793 = 22939298
Step 1: Find the prime factorization of 4786
4786 = 2 x 2393
Step 2: Find the prime factorization of 4793
4793 = 4793
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22939298 = 2 x 2393 x 4793
Step 4: Therefore, the least common multiple of 4786 and 4793 is 22939298.