Least Common Multiple of 4807 and 4813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4807 and 4813 the smallest integer that is 23136091 that is divisible by both numbers.

Least Common Multiple (LCM) of 4807 and 4813 is 23136091.

LCM(4807,4813) = 23136091

LCM of 4807 and 4813

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

LCM of:
and

Least Common Multiple of 4807 and 4813

LCM of 4807 and 4813 is 23136091

Least common multiple can be found by multiplying the highest exponent prime factors of 4807 and 4813. First we will calculate the prime factors of 4807 and 4813.

Prime Factorization of 4807


11 4807
19 437
23 23
1

Prime factors of 4807 are 11, 19,23. Prime factorization of 4807 in exponential form is:

4807 = 111×191×231

Prime Factorization of 4813


4813 4813
1

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

4813 = 48131

Now multiplying the highest exponent prime factors to calculate the LCM of 4807 and 4813.

LCM(4807,4813) = 111×191×231×48131
LCM(4807,4813) = 23136091

Factors of 4807

List of positive integer factors of 4807 that divides 4807 without a remainder.

1, 11, 19, 23, 209, 253, 437, 4807

Factors of 4813

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

1, 4813

Least Common Multiple of 4807 and 4813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4807 and 4813, than apply into the LCM equation.

GCF(4807,4813) = 1
LCM(4807,4813) = ( 4807 × 4813) / 1
LCM(4807,4813) = 23136091 / 1
LCM(4807,4813) = 23136091

Properties of LCM 4807 and 4813

(i) The LCM of 4813 and 4807 is associative

LCM of 4807 and 4813 = LCM of 4813 and 4807

Related Least Common Multiples of 4807

Related Least Common Multiples of 4813

Frequently Asked Questions on LCM of 4807 and 4813

1. What is the LCM of 4807 and 4813?

Answer: LCM of 4807 and 4813 is 23136091.

2. What are the Factors of 4807?

Answer: Factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807. There are 8 integers that are factors of 4807. The greatest factor of 4807 is 4807.

3. 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.

4. How to Find the LCM of 4807 and 4813?

Answer:

Least Common Multiple of 4807 and 4813 = 23136091

Step 1: Find the prime factorization of 4807

4807 = 11 x 19 x 23

Step 2: Find the prime factorization of 4813

4813 = 4813

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

LCM = 23136091 = 11 x 19 x 23 x 4813

Step 4: Therefore, the least common multiple of 4807 and 4813 is 23136091.