Least Common Multiple of 4767 and 4771

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 4771 the smallest integer that is 22743357 that is divisible by both numbers.

Least Common Multiple (LCM) of 4767 and 4771 is 22743357.

LCM(4767,4771) = 22743357

LCM of 4767 and 4771

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4767 and 4771

LCM of 4767 and 4771 is 22743357

Least common multiple can be found by multiplying the highest exponent prime factors of 4767 and 4771. First we will calculate the prime factors of 4767 and 4771.

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 4771


13 4771
367 367
1

Prime factors of 4771 are 13,367. Prime factorization of 4771 in exponential form is:

4771 = 131×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4767 and 4771.

LCM(4767,4771) = 31×71×131×2271×3671
LCM(4767,4771) = 22743357

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 4771

List of positive integer factors of 4771 that divides 4771 without a remainder.

1, 13, 367, 4771

Least Common Multiple of 4767 and 4771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4767 and 4771, than apply into the LCM equation.

GCF(4767,4771) = 1
LCM(4767,4771) = ( 4767 × 4771) / 1
LCM(4767,4771) = 22743357 / 1
LCM(4767,4771) = 22743357

Properties of LCM 4767 and 4771

(i) The LCM of 4771 and 4767 is associative

LCM of 4767 and 4771 = LCM of 4771 and 4767

Frequently Asked Questions on LCM of 4767 and 4771

1. What is the LCM of 4767 and 4771?

Answer: LCM of 4767 and 4771 is 22743357.

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 4771?

Answer: Factors of 4771 are 1, 13, 367, 4771. There are 4 integers that are factors of 4771. The greatest factor of 4771 is 4771.

4. How to Find the LCM of 4767 and 4771?

Answer:

Least Common Multiple of 4767 and 4771 = 22743357

Step 1: Find the prime factorization of 4767

4767 = 3 x 7 x 227

Step 2: Find the prime factorization of 4771

4771 = 13 x 367

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 22743357 = 3 x 7 x 13 x 227 x 367

Step 4: Therefore, the least common multiple of 4767 and 4771 is 22743357.