Least Common Multiple of 4909 and 4913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4909 and 4913 the smallest integer that is 24117917 that is divisible by both numbers.

Least Common Multiple (LCM) of 4909 and 4913 is 24117917.

LCM(4909,4913) = 24117917

LCM of 4909 and 4913

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

LCM of:
and

Least Common Multiple of 4909 and 4913

LCM of 4909 and 4913 is 24117917

Least common multiple can be found by multiplying the highest exponent prime factors of 4909 and 4913. First we will calculate the prime factors of 4909 and 4913.

Prime Factorization of 4909


4909 4909
1

Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:

4909 = 49091

Prime Factorization of 4913


17 4913
17 289
17 17
1

Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:

4913 = 173

Now multiplying the highest exponent prime factors to calculate the LCM of 4909 and 4913.

LCM(4909,4913) = 173×49091
LCM(4909,4913) = 24117917

Factors of 4909

List of positive integer factors of 4909 that divides 4909 without a remainder.

1, 4909

Factors of 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1, 17, 289, 4913

Least Common Multiple of 4909 and 4913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4909 and 4913, than apply into the LCM equation.

GCF(4909,4913) = 1
LCM(4909,4913) = ( 4909 × 4913) / 1
LCM(4909,4913) = 24117917 / 1
LCM(4909,4913) = 24117917

Properties of LCM 4909 and 4913

(i) The LCM of 4913 and 4909 is associative

LCM of 4909 and 4913 = LCM of 4913 and 4909

Related Least Common Multiples of 4909

Related Least Common Multiples of 4913

Frequently Asked Questions on LCM of 4909 and 4913

1. What is the LCM of 4909 and 4913?

Answer: LCM of 4909 and 4913 is 24117917.

2. What are the Factors of 4909?

Answer: Factors of 4909 are 1, 4909. There are 2 integers that are factors of 4909. The greatest factor of 4909 is 4909.

3. What are the Factors of 4913?

Answer: Factors of 4913 are 1, 17, 289, 4913. There are 4 integers that are factors of 4913. The greatest factor of 4913 is 4913.

4. How to Find the LCM of 4909 and 4913?

Answer:

Least Common Multiple of 4909 and 4913 = 24117917

Step 1: Find the prime factorization of 4909

4909 = 4909

Step 2: Find the prime factorization of 4913

4913 = 17 x 17 x 17

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

LCM = 24117917 = 17 x 17 x 17 x 4909

Step 4: Therefore, the least common multiple of 4909 and 4913 is 24117917.