Least Common Multiple of 4923 and 4931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4923 and 4931 the smallest integer that is 24275313 that is divisible by both numbers.

Least Common Multiple (LCM) of 4923 and 4931 is 24275313.

LCM(4923,4931) = 24275313

LCM of 4923 and 4931

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

LCM of:
and

Least Common Multiple of 4923 and 4931

LCM of 4923 and 4931 is 24275313

Least common multiple can be found by multiplying the highest exponent prime factors of 4923 and 4931. First we will calculate the prime factors of 4923 and 4931.

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

Prime Factorization of 4931


4931 4931
1

Prime factors of 4931 are 4931. Prime factorization of 4931 in exponential form is:

4931 = 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 4923 and 4931.

LCM(4923,4931) = 32×5471×49311
LCM(4923,4931) = 24275313

Factors of 4923

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

1, 3, 9, 547, 1641, 4923

Factors of 4931

List of positive integer factors of 4931 that divides 4931 without a remainder.

1, 4931

Least Common Multiple of 4923 and 4931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4923 and 4931, than apply into the LCM equation.

GCF(4923,4931) = 1
LCM(4923,4931) = ( 4923 × 4931) / 1
LCM(4923,4931) = 24275313 / 1
LCM(4923,4931) = 24275313

Properties of LCM 4923 and 4931

(i) The LCM of 4931 and 4923 is associative

LCM of 4923 and 4931 = LCM of 4931 and 4923

Related Least Common Multiples of 4923

Related Least Common Multiples of 4931

Frequently Asked Questions on LCM of 4923 and 4931

1. What is the LCM of 4923 and 4931?

Answer: LCM of 4923 and 4931 is 24275313.

2. 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.

3. What are the Factors of 4931?

Answer: Factors of 4931 are 1, 4931. There are 2 integers that are factors of 4931. The greatest factor of 4931 is 4931.

4. How to Find the LCM of 4923 and 4931?

Answer:

Least Common Multiple of 4923 and 4931 = 24275313

Step 1: Find the prime factorization of 4923

4923 = 3 x 3 x 547

Step 2: Find the prime factorization of 4931

4931 = 4931

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

LCM = 24275313 = 3 x 3 x 547 x 4931

Step 4: Therefore, the least common multiple of 4923 and 4931 is 24275313.