Least Common Multiple of 4804 and 4810

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 4810 the smallest integer that is 11553620 that is divisible by both numbers.

Least Common Multiple (LCM) of 4804 and 4810 is 11553620.

LCM(4804,4810) = 11553620

LCM of 4804 and 4810

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

LCM of:
and

Least Common Multiple of 4804 and 4810

LCM of 4804 and 4810 is 11553620

Least common multiple can be found by multiplying the highest exponent prime factors of 4804 and 4810. First we will calculate the prime factors of 4804 and 4810.

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 4810


2 4810
5 2405
13 481
37 37
1

Prime factors of 4810 are 2, 5, 13,37. Prime factorization of 4810 in exponential form is:

4810 = 21×51×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4804 and 4810.

LCM(4804,4810) = 22×51×131×371×12011
LCM(4804,4810) = 11553620

Factors of 4804

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

1, 2, 4, 1201, 2402, 4804

Factors of 4810

List of positive integer factors of 4810 that divides 4810 without a remainder.

1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810

Least Common Multiple of 4804 and 4810 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 4810, than apply into the LCM equation.

GCF(4804,4810) = 2
LCM(4804,4810) = ( 4804 × 4810) / 2
LCM(4804,4810) = 23107240 / 2
LCM(4804,4810) = 11553620

Properties of LCM 4804 and 4810

(i) The LCM of 4810 and 4804 is associative

LCM of 4804 and 4810 = LCM of 4810 and 4804

Related Least Common Multiples of 4804

Related Least Common Multiples of 4810

Frequently Asked Questions on LCM of 4804 and 4810

1. What is the LCM of 4804 and 4810?

Answer: LCM of 4804 and 4810 is 11553620.

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 4810?

Answer: Factors of 4810 are 1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810. There are 16 integers that are factors of 4810. The greatest factor of 4810 is 4810.

4. How to Find the LCM of 4804 and 4810?

Answer:

Least Common Multiple of 4804 and 4810 = 11553620

Step 1: Find the prime factorization of 4804

4804 = 2 x 2 x 1201

Step 2: Find the prime factorization of 4810

4810 = 2 x 5 x 13 x 37

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

LCM = 11553620 = 2 x 2 x 5 x 13 x 37 x 1201

Step 4: Therefore, the least common multiple of 4804 and 4810 is 11553620.