Least Common Multiple of 4813 and 4819

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 4819 the smallest integer that is 23193847 that is divisible by both numbers.

Least Common Multiple (LCM) of 4813 and 4819 is 23193847.

LCM(4813,4819) = 23193847

LCM of 4813 and 4819

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

LCM of:
and

Least Common Multiple of 4813 and 4819

LCM of 4813 and 4819 is 23193847

Least common multiple can be found by multiplying the highest exponent prime factors of 4813 and 4819. First we will calculate the prime factors of 4813 and 4819.

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 4819


61 4819
79 79
1

Prime factors of 4819 are 61,79. Prime factorization of 4819 in exponential form is:

4819 = 611×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4813 and 4819.

LCM(4813,4819) = 611×791×48131
LCM(4813,4819) = 23193847

Factors of 4813

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

1, 4813

Factors of 4819

List of positive integer factors of 4819 that divides 4819 without a remainder.

1, 61, 79, 4819

Least Common Multiple of 4813 and 4819 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 4819, than apply into the LCM equation.

GCF(4813,4819) = 1
LCM(4813,4819) = ( 4813 × 4819) / 1
LCM(4813,4819) = 23193847 / 1
LCM(4813,4819) = 23193847

Properties of LCM 4813 and 4819

(i) The LCM of 4819 and 4813 is associative

LCM of 4813 and 4819 = LCM of 4819 and 4813

Related Least Common Multiples of 4813

Related Least Common Multiples of 4819

Frequently Asked Questions on LCM of 4813 and 4819

1. What is the LCM of 4813 and 4819?

Answer: LCM of 4813 and 4819 is 23193847.

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 4819?

Answer: Factors of 4819 are 1, 61, 79, 4819. There are 4 integers that are factors of 4819. The greatest factor of 4819 is 4819.

4. How to Find the LCM of 4813 and 4819?

Answer:

Least Common Multiple of 4813 and 4819 = 23193847

Step 1: Find the prime factorization of 4813

4813 = 4813

Step 2: Find the prime factorization of 4819

4819 = 61 x 79

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

LCM = 23193847 = 61 x 79 x 4813

Step 4: Therefore, the least common multiple of 4813 and 4819 is 23193847.