Least Common Multiple of 4797 and 4804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4797 and 4804 the smallest integer that is 23044788 that is divisible by both numbers.

Least Common Multiple (LCM) of 4797 and 4804 is 23044788.

LCM(4797,4804) = 23044788

LCM of 4797 and 4804

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

LCM of:
and

Least Common Multiple of 4797 and 4804

LCM of 4797 and 4804 is 23044788

Least common multiple can be found by multiplying the highest exponent prime factors of 4797 and 4804. First we will calculate the prime factors of 4797 and 4804.

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

Prime Factorization of 4804


2 4804
2 2402
1201 1201
1

Prime factors of 4804 are 2,1201. Prime factorization of 4804 in exponential form is:

4804 = 22×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 4797 and 4804.

LCM(4797,4804) = 22×32×131×411×12011
LCM(4797,4804) = 23044788

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

Factors of 4804

List of positive integer factors of 4804 that divides 4804 without a remainder.

1, 2, 4, 1201, 2402, 4804

Least Common Multiple of 4797 and 4804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4797 and 4804, than apply into the LCM equation.

GCF(4797,4804) = 1
LCM(4797,4804) = ( 4797 × 4804) / 1
LCM(4797,4804) = 23044788 / 1
LCM(4797,4804) = 23044788

Properties of LCM 4797 and 4804

(i) The LCM of 4804 and 4797 is associative

LCM of 4797 and 4804 = LCM of 4804 and 4797

Related Least Common Multiples of 4797

Related Least Common Multiples of 4804

Frequently Asked Questions on LCM of 4797 and 4804

1. What is the LCM of 4797 and 4804?

Answer: LCM of 4797 and 4804 is 23044788.

2. 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.

3. What are the Factors of 4804?

Answer: Factors of 4804 are 1, 2, 4, 1201, 2402, 4804. There are 6 integers that are factors of 4804. The greatest factor of 4804 is 4804.

4. How to Find the LCM of 4797 and 4804?

Answer:

Least Common Multiple of 4797 and 4804 = 23044788

Step 1: Find the prime factorization of 4797

4797 = 3 x 3 x 13 x 41

Step 2: Find the prime factorization of 4804

4804 = 2 x 2 x 1201

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

LCM = 23044788 = 2 x 2 x 3 x 3 x 13 x 41 x 1201

Step 4: Therefore, the least common multiple of 4797 and 4804 is 23044788.