Least Common Multiple of 4787 and 4791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4787 and 4791 the smallest integer that is 22934517 that is divisible by both numbers.

Least Common Multiple (LCM) of 4787 and 4791 is 22934517.

LCM(4787,4791) = 22934517

LCM of 4787 and 4791

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

LCM of:
and

Least Common Multiple of 4787 and 4791

LCM of 4787 and 4791 is 22934517

Least common multiple can be found by multiplying the highest exponent prime factors of 4787 and 4791. First we will calculate the prime factors of 4787 and 4791.

Prime Factorization of 4787


4787 4787
1

Prime factors of 4787 are 4787. Prime factorization of 4787 in exponential form is:

4787 = 47871

Prime Factorization of 4791


3 4791
1597 1597
1

Prime factors of 4791 are 3,1597. Prime factorization of 4791 in exponential form is:

4791 = 31×15971

Now multiplying the highest exponent prime factors to calculate the LCM of 4787 and 4791.

LCM(4787,4791) = 31×15971×47871
LCM(4787,4791) = 22934517

Factors of 4787

List of positive integer factors of 4787 that divides 4787 without a remainder.

1, 4787

Factors of 4791

List of positive integer factors of 4791 that divides 4791 without a remainder.

1, 3, 1597, 4791

Least Common Multiple of 4787 and 4791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4787 and 4791, than apply into the LCM equation.

GCF(4787,4791) = 1
LCM(4787,4791) = ( 4787 × 4791) / 1
LCM(4787,4791) = 22934517 / 1
LCM(4787,4791) = 22934517

Properties of LCM 4787 and 4791

(i) The LCM of 4791 and 4787 is associative

LCM of 4787 and 4791 = LCM of 4791 and 4787

Related Least Common Multiples of 4787

Related Least Common Multiples of 4791

Frequently Asked Questions on LCM of 4787 and 4791

1. What is the LCM of 4787 and 4791?

Answer: LCM of 4787 and 4791 is 22934517.

2. What are the Factors of 4787?

Answer: Factors of 4787 are 1, 4787. There are 2 integers that are factors of 4787. The greatest factor of 4787 is 4787.

3. What are the Factors of 4791?

Answer: Factors of 4791 are 1, 3, 1597, 4791. There are 4 integers that are factors of 4791. The greatest factor of 4791 is 4791.

4. How to Find the LCM of 4787 and 4791?

Answer:

Least Common Multiple of 4787 and 4791 = 22934517

Step 1: Find the prime factorization of 4787

4787 = 4787

Step 2: Find the prime factorization of 4791

4791 = 3 x 1597

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

LCM = 22934517 = 3 x 1597 x 4787

Step 4: Therefore, the least common multiple of 4787 and 4791 is 22934517.