Least Common Multiple of 4913 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 4913 and 4916 the smallest integer that is 24152308 that is divisible by both numbers.

Least Common Multiple (LCM) of 4913 and 4916 is 24152308.

LCM(4913,4916) = 24152308

LCM of 4913 and 4916

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

LCM of:
and

Least Common Multiple of 4913 and 4916

LCM of 4913 and 4916 is 24152308

Least common multiple can be found by multiplying the highest exponent prime factors of 4913 and 4916. First we will calculate the prime factors of 4913 and 4916.

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

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 4913 and 4916.

LCM(4913,4916) = 22×173×12291
LCM(4913,4916) = 24152308

Factors of 4913

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

1, 17, 289, 4913

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 4913 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 4913 and 4916, than apply into the LCM equation.

GCF(4913,4916) = 1
LCM(4913,4916) = ( 4913 × 4916) / 1
LCM(4913,4916) = 24152308 / 1
LCM(4913,4916) = 24152308

Properties of LCM 4913 and 4916

(i) The LCM of 4916 and 4913 is associative

LCM of 4913 and 4916 = LCM of 4916 and 4913

Related Least Common Multiples of 4913

Related Least Common Multiples of 4916

Frequently Asked Questions on LCM of 4913 and 4916

1. What is the LCM of 4913 and 4916?

Answer: LCM of 4913 and 4916 is 24152308.

2. 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.

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 4913 and 4916?

Answer:

Least Common Multiple of 4913 and 4916 = 24152308

Step 1: Find the prime factorization of 4913

4913 = 17 x 17 x 17

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 = 24152308 = 2 x 2 x 17 x 17 x 17 x 1229

Step 4: Therefore, the least common multiple of 4913 and 4916 is 24152308.