Least Common Multiple of 4813 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 4813 and 4817 the smallest integer that is 23184221 that is divisible by both numbers.

Least Common Multiple (LCM) of 4813 and 4817 is 23184221.

LCM(4813,4817) = 23184221

LCM of 4813 and 4817

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

LCM of:
and

Least Common Multiple of 4813 and 4817

LCM of 4813 and 4817 is 23184221

Least common multiple can be found by multiplying the highest exponent prime factors of 4813 and 4817. First we will calculate the prime factors of 4813 and 4817.

Prime Factorization of 4813


4813 4813
1

Prime factors of 4813 are 4813. Prime factorization of 4813 in exponential form is:

4813 = 48131

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 4813 and 4817.

LCM(4813,4817) = 48131×48171
LCM(4813,4817) = 23184221

Factors of 4813

List of positive integer factors of 4813 that divides 4813 without a remainder.

1, 4813

Factors of 4817

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

1, 4817

Least Common Multiple of 4813 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 4813 and 4817, than apply into the LCM equation.

GCF(4813,4817) = 1
LCM(4813,4817) = ( 4813 × 4817) / 1
LCM(4813,4817) = 23184221 / 1
LCM(4813,4817) = 23184221

Properties of LCM 4813 and 4817

(i) The LCM of 4817 and 4813 is associative

LCM of 4813 and 4817 = LCM of 4817 and 4813

Related Least Common Multiples of 4813

Related Least Common Multiples of 4817

Frequently Asked Questions on LCM of 4813 and 4817

1. What is the LCM of 4813 and 4817?

Answer: LCM of 4813 and 4817 is 23184221.

2. What are the Factors of 4813?

Answer: Factors of 4813 are 1, 4813. There are 2 integers that are factors of 4813. The greatest factor of 4813 is 4813.

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 4813 and 4817?

Answer:

Least Common Multiple of 4813 and 4817 = 23184221

Step 1: Find the prime factorization of 4813

4813 = 4813

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 = 23184221 = 4813 x 4817

Step 4: Therefore, the least common multiple of 4813 and 4817 is 23184221.