Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4767 and 4768 the smallest integer that is 22729056 that is divisible by both numbers.
Least Common Multiple (LCM) of 4767 and 4768 is 22729056.
LCM(4767,4768) = 22729056
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 4767 and 4768. First we will calculate the prime factors of 4767 and 4768.
Prime Factorization of 4767
3 | 4767 |
7 | 1589 |
227 | 227 |
1 |
Prime factors of 4767 are 3, 7,227. Prime factorization of 4767 in exponential form is:
4767 = 31×71×2271
Prime Factorization of 4768
2 | 4768 |
2 | 2384 |
2 | 1192 |
2 | 596 |
2 | 298 |
149 | 149 |
1 |
Prime factors of 4768 are 2,149. Prime factorization of 4768 in exponential form is:
4768 = 25×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 4767 and 4768.
LCM(4767,4768) = 25×31×71×1491×2271
LCM(4767,4768) = 22729056
Factors of 4767
List of positive integer factors of 4767 that divides 4767 without a remainder.
1, 3, 7, 21, 227, 681, 1589, 4767
Factors of 4768
List of positive integer factors of 4768 that divides 4768 without a remainder.
1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4767 and 4768, than apply into the LCM equation.
GCF(4767,4768) = 1
LCM(4767,4768) = ( 4767 × 4768) / 1
LCM(4767,4768) = 22729056 / 1
LCM(4767,4768) = 22729056
(i) The LCM of 4768 and 4767 is associative
LCM of 4767 and 4768 = LCM of 4768 and 4767
1. What is the LCM of 4767 and 4768?
Answer: LCM of 4767 and 4768 is 22729056.
2. What are the Factors of 4767?
Answer: Factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767. There are 8 integers that are factors of 4767. The greatest factor of 4767 is 4767.
3. What are the Factors of 4768?
Answer: Factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768. There are 12 integers that are factors of 4768. The greatest factor of 4768 is 4768.
4. How to Find the LCM of 4767 and 4768?
Answer:
Least Common Multiple of 4767 and 4768 = 22729056
Step 1: Find the prime factorization of 4767
4767 = 3 x 7 x 227
Step 2: Find the prime factorization of 4768
4768 = 2 x 2 x 2 x 2 x 2 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22729056 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 149 x 227
Step 4: Therefore, the least common multiple of 4767 and 4768 is 22729056.