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 4792 the smallest integer that is 11467256 that is divisible by both numbers.
Least Common Multiple (LCM) of 4786 and 4792 is 11467256.
LCM(4786,4792) = 11467256
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 4792. First we will calculate the prime factors of 4786 and 4792.
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 4792
2 | 4792 |
2 | 2396 |
2 | 1198 |
599 | 599 |
1 |
Prime factors of 4792 are 2,599. Prime factorization of 4792 in exponential form is:
4792 = 23×5991
Now multiplying the highest exponent prime factors to calculate the LCM of 4786 and 4792.
LCM(4786,4792) = 23×5991×23931
LCM(4786,4792) = 11467256
Factors of 4786
List of positive integer factors of 4786 that divides 4786 without a remainder.
1, 2, 2393, 4786
Factors of 4792
List of positive integer factors of 4792 that divides 4792 without a remainder.
1, 2, 4, 8, 599, 1198, 2396, 4792
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4786 and 4792, than apply into the LCM equation.
GCF(4786,4792) = 2
LCM(4786,4792) = ( 4786 × 4792) / 2
LCM(4786,4792) = 22934512 / 2
LCM(4786,4792) = 11467256
(i) The LCM of 4792 and 4786 is associative
LCM of 4786 and 4792 = LCM of 4792 and 4786
1. What is the LCM of 4786 and 4792?
Answer: LCM of 4786 and 4792 is 11467256.
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 4792?
Answer: Factors of 4792 are 1, 2, 4, 8, 599, 1198, 2396, 4792. There are 8 integers that are factors of 4792. The greatest factor of 4792 is 4792.
4. How to Find the LCM of 4786 and 4792?
Answer:
Least Common Multiple of 4786 and 4792 = 11467256
Step 1: Find the prime factorization of 4786
4786 = 2 x 2393
Step 2: Find the prime factorization of 4792
4792 = 2 x 2 x 2 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11467256 = 2 x 2 x 2 x 599 x 2393
Step 4: Therefore, the least common multiple of 4786 and 4792 is 11467256.