Least Common Multiple of 4813 and 4814

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 4814 the smallest integer that is 23169782 that is divisible by both numbers.

Least Common Multiple (LCM) of 4813 and 4814 is 23169782.

LCM(4813,4814) = 23169782

LCM of 4813 and 4814

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

LCM of:
and

Least Common Multiple of 4813 and 4814

LCM of 4813 and 4814 is 23169782

Least common multiple can be found by multiplying the highest exponent prime factors of 4813 and 4814. First we will calculate the prime factors of 4813 and 4814.

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 4814


2 4814
29 2407
83 83
1

Prime factors of 4814 are 2, 29,83. Prime factorization of 4814 in exponential form is:

4814 = 21×291×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4813 and 4814.

LCM(4813,4814) = 21×291×831×48131
LCM(4813,4814) = 23169782

Factors of 4813

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

1, 4813

Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1, 2, 29, 58, 83, 166, 2407, 4814

Least Common Multiple of 4813 and 4814 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 4814, than apply into the LCM equation.

GCF(4813,4814) = 1
LCM(4813,4814) = ( 4813 × 4814) / 1
LCM(4813,4814) = 23169782 / 1
LCM(4813,4814) = 23169782

Properties of LCM 4813 and 4814

(i) The LCM of 4814 and 4813 is associative

LCM of 4813 and 4814 = LCM of 4814 and 4813

Related Least Common Multiples of 4813

Related Least Common Multiples of 4814

Frequently Asked Questions on LCM of 4813 and 4814

1. What is the LCM of 4813 and 4814?

Answer: LCM of 4813 and 4814 is 23169782.

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 4814?

Answer: Factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814. There are 8 integers that are factors of 4814. The greatest factor of 4814 is 4814.

4. How to Find the LCM of 4813 and 4814?

Answer:

Least Common Multiple of 4813 and 4814 = 23169782

Step 1: Find the prime factorization of 4813

4813 = 4813

Step 2: Find the prime factorization of 4814

4814 = 2 x 29 x 83

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

LCM = 23169782 = 2 x 29 x 83 x 4813

Step 4: Therefore, the least common multiple of 4813 and 4814 is 23169782.