Least Common Multiple of 4805 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 4805 and 4810 the smallest integer that is 4622410 that is divisible by both numbers.

Least Common Multiple (LCM) of 4805 and 4810 is 4622410.

LCM(4805,4810) = 4622410

LCM of 4805 and 4810

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

LCM of:
and

Least Common Multiple of 4805 and 4810

LCM of 4805 and 4810 is 4622410

Least common multiple can be found by multiplying the highest exponent prime factors of 4805 and 4810. First we will calculate the prime factors of 4805 and 4810.

Prime Factorization of 4805


5 4805
31 961
31 31
1

Prime factors of 4805 are 5,31. Prime factorization of 4805 in exponential form is:

4805 = 51×312

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 4805 and 4810.

LCM(4805,4810) = 21×51×131×312×371
LCM(4805,4810) = 4622410

Factors of 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1, 5, 31, 155, 961, 4805

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 4805 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 4805 and 4810, than apply into the LCM equation.

GCF(4805,4810) = 5
LCM(4805,4810) = ( 4805 × 4810) / 5
LCM(4805,4810) = 23112050 / 5
LCM(4805,4810) = 4622410

Properties of LCM 4805 and 4810

(i) The LCM of 4810 and 4805 is associative

LCM of 4805 and 4810 = LCM of 4810 and 4805

Related Least Common Multiples of 4805

Related Least Common Multiples of 4810

Frequently Asked Questions on LCM of 4805 and 4810

1. What is the LCM of 4805 and 4810?

Answer: LCM of 4805 and 4810 is 4622410.

2. What are the Factors of 4805?

Answer: Factors of 4805 are 1, 5, 31, 155, 961, 4805. There are 6 integers that are factors of 4805. The greatest factor of 4805 is 4805.

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 4805 and 4810?

Answer:

Least Common Multiple of 4805 and 4810 = 4622410

Step 1: Find the prime factorization of 4805

4805 = 5 x 31 x 31

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 = 4622410 = 2 x 5 x 13 x 31 x 31 x 37

Step 4: Therefore, the least common multiple of 4805 and 4810 is 4622410.