Least Common Multiple of 4793 and 4797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4793 and 4797 the smallest integer that is 22992021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4793 and 4797 is 22992021.

LCM(4793,4797) = 22992021

LCM of 4793 and 4797

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

LCM of:
and

Least Common Multiple of 4793 and 4797

LCM of 4793 and 4797 is 22992021

Least common multiple can be found by multiplying the highest exponent prime factors of 4793 and 4797. First we will calculate the prime factors of 4793 and 4797.

Prime Factorization of 4793


4793 4793
1

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

4793 = 47931

Prime Factorization of 4797


3 4797
3 1599
13 533
41 41
1

Prime factors of 4797 are 3, 13,41. Prime factorization of 4797 in exponential form is:

4797 = 32×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4793 and 4797.

LCM(4793,4797) = 32×131×411×47931
LCM(4793,4797) = 22992021

Factors of 4793

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

1, 4793

Factors of 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797

Least Common Multiple of 4793 and 4797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4793 and 4797, than apply into the LCM equation.

GCF(4793,4797) = 1
LCM(4793,4797) = ( 4793 × 4797) / 1
LCM(4793,4797) = 22992021 / 1
LCM(4793,4797) = 22992021

Properties of LCM 4793 and 4797

(i) The LCM of 4797 and 4793 is associative

LCM of 4793 and 4797 = LCM of 4797 and 4793

Related Least Common Multiples of 4793

Related Least Common Multiples of 4797

Frequently Asked Questions on LCM of 4793 and 4797

1. What is the LCM of 4793 and 4797?

Answer: LCM of 4793 and 4797 is 22992021.

2. 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.

3. What are the Factors of 4797?

Answer: Factors of 4797 are 1, 3, 9, 13, 39, 41, 117, 123, 369, 533, 1599, 4797. There are 12 integers that are factors of 4797. The greatest factor of 4797 is 4797.

4. How to Find the LCM of 4793 and 4797?

Answer:

Least Common Multiple of 4793 and 4797 = 22992021

Step 1: Find the prime factorization of 4793

4793 = 4793

Step 2: Find the prime factorization of 4797

4797 = 3 x 3 x 13 x 41

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

LCM = 22992021 = 3 x 3 x 13 x 41 x 4793

Step 4: Therefore, the least common multiple of 4793 and 4797 is 22992021.