Least Common Multiple of 4804 and 4809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4804 and 4809 the smallest integer that is 23102436 that is divisible by both numbers.

Least Common Multiple (LCM) of 4804 and 4809 is 23102436.

LCM(4804,4809) = 23102436

LCM of 4804 and 4809

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

LCM of:
and

Least Common Multiple of 4804 and 4809

LCM of 4804 and 4809 is 23102436

Least common multiple can be found by multiplying the highest exponent prime factors of 4804 and 4809. First we will calculate the prime factors of 4804 and 4809.

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

Prime Factorization of 4809


3 4809
7 1603
229 229
1

Prime factors of 4809 are 3, 7,229. Prime factorization of 4809 in exponential form is:

4809 = 31×71×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 4804 and 4809.

LCM(4804,4809) = 22×31×71×2291×12011
LCM(4804,4809) = 23102436

Factors of 4804

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

1, 2, 4, 1201, 2402, 4804

Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1, 3, 7, 21, 229, 687, 1603, 4809

Least Common Multiple of 4804 and 4809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4804 and 4809, than apply into the LCM equation.

GCF(4804,4809) = 1
LCM(4804,4809) = ( 4804 × 4809) / 1
LCM(4804,4809) = 23102436 / 1
LCM(4804,4809) = 23102436

Properties of LCM 4804 and 4809

(i) The LCM of 4809 and 4804 is associative

LCM of 4804 and 4809 = LCM of 4809 and 4804

Related Least Common Multiples of 4804

Related Least Common Multiples of 4809

Frequently Asked Questions on LCM of 4804 and 4809

1. What is the LCM of 4804 and 4809?

Answer: LCM of 4804 and 4809 is 23102436.

2. 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.

3. What are the Factors of 4809?

Answer: Factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809. There are 8 integers that are factors of 4809. The greatest factor of 4809 is 4809.

4. How to Find the LCM of 4804 and 4809?

Answer:

Least Common Multiple of 4804 and 4809 = 23102436

Step 1: Find the prime factorization of 4804

4804 = 2 x 2 x 1201

Step 2: Find the prime factorization of 4809

4809 = 3 x 7 x 229

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

LCM = 23102436 = 2 x 2 x 3 x 7 x 229 x 1201

Step 4: Therefore, the least common multiple of 4804 and 4809 is 23102436.