Least Common Multiple of 4923 and 4928

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 4928 the smallest integer that is 24260544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4923 and 4928 is 24260544.

LCM(4923,4928) = 24260544

LCM of 4923 and 4928

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

LCM of:
and

Least Common Multiple of 4923 and 4928

LCM of 4923 and 4928 is 24260544

Least common multiple can be found by multiplying the highest exponent prime factors of 4923 and 4928. First we will calculate the prime factors of 4923 and 4928.

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 4928


2 4928
2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 4928 are 2, 7,11. Prime factorization of 4928 in exponential form is:

4928 = 26×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4923 and 4928.

LCM(4923,4928) = 26×32×71×111×5471
LCM(4923,4928) = 24260544

Factors of 4923

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

1, 3, 9, 547, 1641, 4923

Factors of 4928

List of positive integer factors of 4928 that divides 4928 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928

Least Common Multiple of 4923 and 4928 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 4928, than apply into the LCM equation.

GCF(4923,4928) = 1
LCM(4923,4928) = ( 4923 × 4928) / 1
LCM(4923,4928) = 24260544 / 1
LCM(4923,4928) = 24260544

Properties of LCM 4923 and 4928

(i) The LCM of 4928 and 4923 is associative

LCM of 4923 and 4928 = LCM of 4928 and 4923

Related Least Common Multiples of 4923

Related Least Common Multiples of 4928

Frequently Asked Questions on LCM of 4923 and 4928

1. What is the LCM of 4923 and 4928?

Answer: LCM of 4923 and 4928 is 24260544.

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 4928?

Answer: Factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928. There are 28 integers that are factors of 4928. The greatest factor of 4928 is 4928.

4. How to Find the LCM of 4923 and 4928?

Answer:

Least Common Multiple of 4923 and 4928 = 24260544

Step 1: Find the prime factorization of 4923

4923 = 3 x 3 x 547

Step 2: Find the prime factorization of 4928

4928 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11

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

LCM = 24260544 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 547

Step 4: Therefore, the least common multiple of 4923 and 4928 is 24260544.