Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4766 and 4774 the smallest integer that is 11376442 that is divisible by both numbers.
Least Common Multiple (LCM) of 4766 and 4774 is 11376442.
LCM(4766,4774) = 11376442
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 4766 and 4774. First we will calculate the prime factors of 4766 and 4774.
Prime Factorization of 4766
2 | 4766 |
2383 | 2383 |
1 |
Prime factors of 4766 are 2,2383. Prime factorization of 4766 in exponential form is:
4766 = 21×23831
Prime Factorization of 4774
2 | 4774 |
7 | 2387 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 4774 are 2, 7, 11,31. Prime factorization of 4774 in exponential form is:
4774 = 21×71×111×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4766 and 4774.
LCM(4766,4774) = 21×71×111×311×23831
LCM(4766,4774) = 11376442
Factors of 4766
List of positive integer factors of 4766 that divides 4766 without a remainder.
1, 2, 2383, 4766
Factors of 4774
List of positive integer factors of 4774 that divides 4774 without a remainder.
1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4766 and 4774, than apply into the LCM equation.
GCF(4766,4774) = 2
LCM(4766,4774) = ( 4766 × 4774) / 2
LCM(4766,4774) = 22752884 / 2
LCM(4766,4774) = 11376442
(i) The LCM of 4774 and 4766 is associative
LCM of 4766 and 4774 = LCM of 4774 and 4766
1. What is the LCM of 4766 and 4774?
Answer: LCM of 4766 and 4774 is 11376442.
2. What are the Factors of 4766?
Answer: Factors of 4766 are 1, 2, 2383, 4766. There are 4 integers that are factors of 4766. The greatest factor of 4766 is 4766.
3. What are the Factors of 4774?
Answer: Factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774. There are 16 integers that are factors of 4774. The greatest factor of 4774 is 4774.
4. How to Find the LCM of 4766 and 4774?
Answer:
Least Common Multiple of 4766 and 4774 = 11376442
Step 1: Find the prime factorization of 4766
4766 = 2 x 2383
Step 2: Find the prime factorization of 4774
4774 = 2 x 7 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11376442 = 2 x 7 x 11 x 31 x 2383
Step 4: Therefore, the least common multiple of 4766 and 4774 is 11376442.