Least Common Multiple of 4916 and 4923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4916 and 4923 the smallest integer that is 24201468 that is divisible by both numbers.

Least Common Multiple (LCM) of 4916 and 4923 is 24201468.

LCM(4916,4923) = 24201468

LCM of 4916 and 4923

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

LCM of:
and

Least Common Multiple of 4916 and 4923

LCM of 4916 and 4923 is 24201468

Least common multiple can be found by multiplying the highest exponent prime factors of 4916 and 4923. First we will calculate the prime factors of 4916 and 4923.

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

Prime Factorization of 4923


3 4923
3 1641
547 547
1

Prime factors of 4923 are 3,547. Prime factorization of 4923 in exponential form is:

4923 = 32×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 4916 and 4923.

LCM(4916,4923) = 22×32×5471×12291
LCM(4916,4923) = 24201468

Factors of 4916

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

1, 2, 4, 1229, 2458, 4916

Factors of 4923

List of positive integer factors of 4923 that divides 4923 without a remainder.

1, 3, 9, 547, 1641, 4923

Least Common Multiple of 4916 and 4923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4916 and 4923, than apply into the LCM equation.

GCF(4916,4923) = 1
LCM(4916,4923) = ( 4916 × 4923) / 1
LCM(4916,4923) = 24201468 / 1
LCM(4916,4923) = 24201468

Properties of LCM 4916 and 4923

(i) The LCM of 4923 and 4916 is associative

LCM of 4916 and 4923 = LCM of 4923 and 4916

Related Least Common Multiples of 4916

Related Least Common Multiples of 4923

Frequently Asked Questions on LCM of 4916 and 4923

1. What is the LCM of 4916 and 4923?

Answer: LCM of 4916 and 4923 is 24201468.

2. 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.

3. What are the Factors of 4923?

Answer: Factors of 4923 are 1, 3, 9, 547, 1641, 4923. There are 6 integers that are factors of 4923. The greatest factor of 4923 is 4923.

4. How to Find the LCM of 4916 and 4923?

Answer:

Least Common Multiple of 4916 and 4923 = 24201468

Step 1: Find the prime factorization of 4916

4916 = 2 x 2 x 1229

Step 2: Find the prime factorization of 4923

4923 = 3 x 3 x 547

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

LCM = 24201468 = 2 x 2 x 3 x 3 x 547 x 1229

Step 4: Therefore, the least common multiple of 4916 and 4923 is 24201468.