Least Common Multiple of 4809 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 4809 and 4817 the smallest integer that is 23164953 that is divisible by both numbers.

Least Common Multiple (LCM) of 4809 and 4817 is 23164953.

LCM(4809,4817) = 23164953

LCM of 4809 and 4817

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

LCM of:
and

Least Common Multiple of 4809 and 4817

LCM of 4809 and 4817 is 23164953

Least common multiple can be found by multiplying the highest exponent prime factors of 4809 and 4817. First we will calculate the prime factors of 4809 and 4817.

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

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 4809 and 4817.

LCM(4809,4817) = 31×71×2291×48171
LCM(4809,4817) = 23164953

Factors of 4809

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

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

Factors of 4817

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

1, 4817

Least Common Multiple of 4809 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 4809 and 4817, than apply into the LCM equation.

GCF(4809,4817) = 1
LCM(4809,4817) = ( 4809 × 4817) / 1
LCM(4809,4817) = 23164953 / 1
LCM(4809,4817) = 23164953

Properties of LCM 4809 and 4817

(i) The LCM of 4817 and 4809 is associative

LCM of 4809 and 4817 = LCM of 4817 and 4809

Related Least Common Multiples of 4809

Related Least Common Multiples of 4817

Frequently Asked Questions on LCM of 4809 and 4817

1. What is the LCM of 4809 and 4817?

Answer: LCM of 4809 and 4817 is 23164953.

2. 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.

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 4809 and 4817?

Answer:

Least Common Multiple of 4809 and 4817 = 23164953

Step 1: Find the prime factorization of 4809

4809 = 3 x 7 x 229

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 = 23164953 = 3 x 7 x 229 x 4817

Step 4: Therefore, the least common multiple of 4809 and 4817 is 23164953.