Least Common Multiple of 4767 and 4775

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 4775 the smallest integer that is 22762425 that is divisible by both numbers.

Least Common Multiple (LCM) of 4767 and 4775 is 22762425.

LCM(4767,4775) = 22762425

LCM of 4767 and 4775

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

LCM of:
and

Least Common Multiple of 4767 and 4775

LCM of 4767 and 4775 is 22762425

Least common multiple can be found by multiplying the highest exponent prime factors of 4767 and 4775. First we will calculate the prime factors of 4767 and 4775.

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 4775


5 4775
5 955
191 191
1

Prime factors of 4775 are 5,191. Prime factorization of 4775 in exponential form is:

4775 = 52×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4767 and 4775.

LCM(4767,4775) = 31×52×71×1911×2271
LCM(4767,4775) = 22762425

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 4775

List of positive integer factors of 4775 that divides 4775 without a remainder.

1, 5, 25, 191, 955, 4775

Least Common Multiple of 4767 and 4775 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 4775, than apply into the LCM equation.

GCF(4767,4775) = 1
LCM(4767,4775) = ( 4767 × 4775) / 1
LCM(4767,4775) = 22762425 / 1
LCM(4767,4775) = 22762425

Properties of LCM 4767 and 4775

(i) The LCM of 4775 and 4767 is associative

LCM of 4767 and 4775 = LCM of 4775 and 4767

Related Least Common Multiples of 4767

Related Least Common Multiples of 4775

Frequently Asked Questions on LCM of 4767 and 4775

1. What is the LCM of 4767 and 4775?

Answer: LCM of 4767 and 4775 is 22762425.

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 4775?

Answer: Factors of 4775 are 1, 5, 25, 191, 955, 4775. There are 6 integers that are factors of 4775. The greatest factor of 4775 is 4775.

4. How to Find the LCM of 4767 and 4775?

Answer:

Least Common Multiple of 4767 and 4775 = 22762425

Step 1: Find the prime factorization of 4767

4767 = 3 x 7 x 227

Step 2: Find the prime factorization of 4775

4775 = 5 x 5 x 191

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

LCM = 22762425 = 3 x 5 x 5 x 7 x 191 x 227

Step 4: Therefore, the least common multiple of 4767 and 4775 is 22762425.