Least Common Multiple of 4810 and 4817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4810 and 4817 the smallest integer that is 23169770 that is divisible by both numbers.

Least Common Multiple (LCM) of 4810 and 4817 is 23169770.

LCM(4810,4817) = 23169770

LCM of 4810 and 4817

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

LCM of:
and

Least Common Multiple of 4810 and 4817

LCM of 4810 and 4817 is 23169770

Least common multiple can be found by multiplying the highest exponent prime factors of 4810 and 4817. First we will calculate the prime factors of 4810 and 4817.

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

Prime Factorization of 4817


4817 4817
1

Prime factors of 4817 are 4817. Prime factorization of 4817 in exponential form is:

4817 = 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 4810 and 4817.

LCM(4810,4817) = 21×51×131×371×48171
LCM(4810,4817) = 23169770

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

Factors of 4817

List of positive integer factors of 4817 that divides 4817 without a remainder.

1, 4817

Least Common Multiple of 4810 and 4817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4810 and 4817, than apply into the LCM equation.

GCF(4810,4817) = 1
LCM(4810,4817) = ( 4810 × 4817) / 1
LCM(4810,4817) = 23169770 / 1
LCM(4810,4817) = 23169770

Properties of LCM 4810 and 4817

(i) The LCM of 4817 and 4810 is associative

LCM of 4810 and 4817 = LCM of 4817 and 4810

Related Least Common Multiples of 4810

Related Least Common Multiples of 4817

Frequently Asked Questions on LCM of 4810 and 4817

1. What is the LCM of 4810 and 4817?

Answer: LCM of 4810 and 4817 is 23169770.

2. 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.

3. What are the Factors of 4817?

Answer: Factors of 4817 are 1, 4817. There are 2 integers that are factors of 4817. The greatest factor of 4817 is 4817.

4. How to Find the LCM of 4810 and 4817?

Answer:

Least Common Multiple of 4810 and 4817 = 23169770

Step 1: Find the prime factorization of 4810

4810 = 2 x 5 x 13 x 37

Step 2: Find the prime factorization of 4817

4817 = 4817

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

LCM = 23169770 = 2 x 5 x 13 x 37 x 4817

Step 4: Therefore, the least common multiple of 4810 and 4817 is 23169770.