Least Common Multiple of 4771 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 4771 and 4775 the smallest integer that is 22781525 that is divisible by both numbers.

Least Common Multiple (LCM) of 4771 and 4775 is 22781525.

LCM(4771,4775) = 22781525

LCM of 4771 and 4775

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

LCM of:
and

Least Common Multiple of 4771 and 4775

LCM of 4771 and 4775 is 22781525

Least common multiple can be found by multiplying the highest exponent prime factors of 4771 and 4775. First we will calculate the prime factors of 4771 and 4775.

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

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 4771 and 4775.

LCM(4771,4775) = 52×131×1911×3671
LCM(4771,4775) = 22781525

Factors of 4771

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

1, 13, 367, 4771

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 4771 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 4771 and 4775, than apply into the LCM equation.

GCF(4771,4775) = 1
LCM(4771,4775) = ( 4771 × 4775) / 1
LCM(4771,4775) = 22781525 / 1
LCM(4771,4775) = 22781525

Properties of LCM 4771 and 4775

(i) The LCM of 4775 and 4771 is associative

LCM of 4771 and 4775 = LCM of 4775 and 4771

Related Least Common Multiples of 4771

Related Least Common Multiples of 4775

Frequently Asked Questions on LCM of 4771 and 4775

1. What is the LCM of 4771 and 4775?

Answer: LCM of 4771 and 4775 is 22781525.

2. 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.

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 4771 and 4775?

Answer:

Least Common Multiple of 4771 and 4775 = 22781525

Step 1: Find the prime factorization of 4771

4771 = 13 x 367

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 = 22781525 = 5 x 5 x 13 x 191 x 367

Step 4: Therefore, the least common multiple of 4771 and 4775 is 22781525.