Least Common Multiple of 4909 and 4917

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 4917 the smallest integer that is 24137553 that is divisible by both numbers.

Least Common Multiple (LCM) of 4909 and 4917 is 24137553.

LCM(4909,4917) = 24137553

LCM of 4909 and 4917

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

LCM of:
and

Least Common Multiple of 4909 and 4917

LCM of 4909 and 4917 is 24137553

Least common multiple can be found by multiplying the highest exponent prime factors of 4909 and 4917. First we will calculate the prime factors of 4909 and 4917.

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 4917


3 4917
11 1639
149 149
1

Prime factors of 4917 are 3, 11,149. Prime factorization of 4917 in exponential form is:

4917 = 31×111×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4909 and 4917.

LCM(4909,4917) = 31×111×1491×49091
LCM(4909,4917) = 24137553

Factors of 4909

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

1, 4909

Factors of 4917

List of positive integer factors of 4917 that divides 4917 without a remainder.

1, 3, 11, 33, 149, 447, 1639, 4917

Least Common Multiple of 4909 and 4917 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 4917, than apply into the LCM equation.

GCF(4909,4917) = 1
LCM(4909,4917) = ( 4909 × 4917) / 1
LCM(4909,4917) = 24137553 / 1
LCM(4909,4917) = 24137553

Properties of LCM 4909 and 4917

(i) The LCM of 4917 and 4909 is associative

LCM of 4909 and 4917 = LCM of 4917 and 4909

Related Least Common Multiples of 4909

Related Least Common Multiples of 4917

Frequently Asked Questions on LCM of 4909 and 4917

1. What is the LCM of 4909 and 4917?

Answer: LCM of 4909 and 4917 is 24137553.

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 4917?

Answer: Factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917. There are 8 integers that are factors of 4917. The greatest factor of 4917 is 4917.

4. How to Find the LCM of 4909 and 4917?

Answer:

Least Common Multiple of 4909 and 4917 = 24137553

Step 1: Find the prime factorization of 4909

4909 = 4909

Step 2: Find the prime factorization of 4917

4917 = 3 x 11 x 149

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

LCM = 24137553 = 3 x 11 x 149 x 4909

Step 4: Therefore, the least common multiple of 4909 and 4917 is 24137553.