Least Common Multiple of 4798 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 4798 and 4804 the smallest integer that is 11524796 that is divisible by both numbers.

Least Common Multiple (LCM) of 4798 and 4804 is 11524796.

LCM(4798,4804) = 11524796

LCM of 4798 and 4804

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

LCM of:
and

Least Common Multiple of 4798 and 4804

LCM of 4798 and 4804 is 11524796

Least common multiple can be found by multiplying the highest exponent prime factors of 4798 and 4804. First we will calculate the prime factors of 4798 and 4804.

Prime Factorization of 4798


2 4798
2399 2399
1

Prime factors of 4798 are 2,2399. Prime factorization of 4798 in exponential form is:

4798 = 21×23991

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 4798 and 4804.

LCM(4798,4804) = 22×12011×23991
LCM(4798,4804) = 11524796

Factors of 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1, 2, 2399, 4798

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 4798 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 4798 and 4804, than apply into the LCM equation.

GCF(4798,4804) = 2
LCM(4798,4804) = ( 4798 × 4804) / 2
LCM(4798,4804) = 23049592 / 2
LCM(4798,4804) = 11524796

Properties of LCM 4798 and 4804

(i) The LCM of 4804 and 4798 is associative

LCM of 4798 and 4804 = LCM of 4804 and 4798

Related Least Common Multiples of 4798

Related Least Common Multiples of 4804

Frequently Asked Questions on LCM of 4798 and 4804

1. What is the LCM of 4798 and 4804?

Answer: LCM of 4798 and 4804 is 11524796.

2. What are the Factors of 4798?

Answer: Factors of 4798 are 1, 2, 2399, 4798. There are 4 integers that are factors of 4798. The greatest factor of 4798 is 4798.

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 4798 and 4804?

Answer:

Least Common Multiple of 4798 and 4804 = 11524796

Step 1: Find the prime factorization of 4798

4798 = 2 x 2399

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 = 11524796 = 2 x 2 x 1201 x 2399

Step 4: Therefore, the least common multiple of 4798 and 4804 is 11524796.