Least Common Multiple of 4787 and 4793

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 4793 the smallest integer that is 22944091 that is divisible by both numbers.

Least Common Multiple (LCM) of 4787 and 4793 is 22944091.

LCM(4787,4793) = 22944091

LCM of 4787 and 4793

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

LCM of:
and

Least Common Multiple of 4787 and 4793

LCM of 4787 and 4793 is 22944091

Least common multiple can be found by multiplying the highest exponent prime factors of 4787 and 4793. First we will calculate the prime factors of 4787 and 4793.

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 4793


4793 4793
1

Prime factors of 4793 are 4793. Prime factorization of 4793 in exponential form is:

4793 = 47931

Now multiplying the highest exponent prime factors to calculate the LCM of 4787 and 4793.

LCM(4787,4793) = 47871×47931
LCM(4787,4793) = 22944091

Factors of 4787

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

1, 4787

Factors of 4793

List of positive integer factors of 4793 that divides 4793 without a remainder.

1, 4793

Least Common Multiple of 4787 and 4793 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 4793, than apply into the LCM equation.

GCF(4787,4793) = 1
LCM(4787,4793) = ( 4787 × 4793) / 1
LCM(4787,4793) = 22944091 / 1
LCM(4787,4793) = 22944091

Properties of LCM 4787 and 4793

(i) The LCM of 4793 and 4787 is associative

LCM of 4787 and 4793 = LCM of 4793 and 4787

Frequently Asked Questions on LCM of 4787 and 4793

1. What is the LCM of 4787 and 4793?

Answer: LCM of 4787 and 4793 is 22944091.

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 4793?

Answer: Factors of 4793 are 1, 4793. There are 2 integers that are factors of 4793. The greatest factor of 4793 is 4793.

4. How to Find the LCM of 4787 and 4793?

Answer:

Least Common Multiple of 4787 and 4793 = 22944091

Step 1: Find the prime factorization of 4787

4787 = 4787

Step 2: Find the prime factorization of 4793

4793 = 4793

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

LCM = 22944091 = 4787 x 4793

Step 4: Therefore, the least common multiple of 4787 and 4793 is 22944091.