Least Common Multiple of 4909 and 4916

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 4916 the smallest integer that is 24132644 that is divisible by both numbers.

Least Common Multiple (LCM) of 4909 and 4916 is 24132644.

LCM(4909,4916) = 24132644

LCM of 4909 and 4916

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

LCM of:
and

Least Common Multiple of 4909 and 4916

LCM of 4909 and 4916 is 24132644

Least common multiple can be found by multiplying the highest exponent prime factors of 4909 and 4916. First we will calculate the prime factors of 4909 and 4916.

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 4916


2 4916
2 2458
1229 1229
1

Prime factors of 4916 are 2,1229. Prime factorization of 4916 in exponential form is:

4916 = 22×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 4909 and 4916.

LCM(4909,4916) = 22×12291×49091
LCM(4909,4916) = 24132644

Factors of 4909

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

1, 4909

Factors of 4916

List of positive integer factors of 4916 that divides 4916 without a remainder.

1, 2, 4, 1229, 2458, 4916

Least Common Multiple of 4909 and 4916 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 4916, than apply into the LCM equation.

GCF(4909,4916) = 1
LCM(4909,4916) = ( 4909 × 4916) / 1
LCM(4909,4916) = 24132644 / 1
LCM(4909,4916) = 24132644

Properties of LCM 4909 and 4916

(i) The LCM of 4916 and 4909 is associative

LCM of 4909 and 4916 = LCM of 4916 and 4909

Related Least Common Multiples of 4909

Related Least Common Multiples of 4916

Frequently Asked Questions on LCM of 4909 and 4916

1. What is the LCM of 4909 and 4916?

Answer: LCM of 4909 and 4916 is 24132644.

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 4916?

Answer: Factors of 4916 are 1, 2, 4, 1229, 2458, 4916. There are 6 integers that are factors of 4916. The greatest factor of 4916 is 4916.

4. How to Find the LCM of 4909 and 4916?

Answer:

Least Common Multiple of 4909 and 4916 = 24132644

Step 1: Find the prime factorization of 4909

4909 = 4909

Step 2: Find the prime factorization of 4916

4916 = 2 x 2 x 1229

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

LCM = 24132644 = 2 x 2 x 1229 x 4909

Step 4: Therefore, the least common multiple of 4909 and 4916 is 24132644.