Least Common Multiple of 923 and 928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 923 and 928 the smallest integer that is 856544 that is divisible by both numbers.

Least Common Multiple (LCM) of 923 and 928 is 856544.

LCM(923,928) = 856544

LCM of 923 and 928

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

LCM of:
and

Least Common Multiple of 923 and 928

LCM of 923 and 928 is 856544

Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 928. First we will calculate the prime factors of 923 and 928.

Prime Factorization of 923


13 923
71 71
1

Prime factors of 923 are 13,71. Prime factorization of 923 in exponential form is:

923 = 131×711

Prime Factorization of 928


2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:

928 = 25×291

Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 928.

LCM(923,928) = 25×131×291×711
LCM(923,928) = 856544

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Least Common Multiple of 923 and 928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 923 and 928, than apply into the LCM equation.

GCF(923,928) = 1
LCM(923,928) = ( 923 × 928) / 1
LCM(923,928) = 856544 / 1
LCM(923,928) = 856544

Properties of LCM 923 and 928

(i) The LCM of 928 and 923 is associative

LCM of 923 and 928 = LCM of 928 and 923

Related Least Common Multiples of 923

Related Least Common Multiples of 928

Frequently Asked Questions on LCM of 923 and 928

1. What is the LCM of 923 and 928?

Answer: LCM of 923 and 928 is 856544.

2. What are the Factors of 923?

Answer: Factors of 923 are 1, 13, 71, 923. There are 4 integers that are factors of 923. The greatest factor of 923 is 923.

3. What are the Factors of 928?

Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.

4. How to Find the LCM of 923 and 928?

Answer:

Least Common Multiple of 923 and 928 = 856544

Step 1: Find the prime factorization of 923

923 = 13 x 71

Step 2: Find the prime factorization of 928

928 = 2 x 2 x 2 x 2 x 2 x 29

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

LCM = 856544 = 2 x 2 x 2 x 2 x 2 x 13 x 29 x 71

Step 4: Therefore, the least common multiple of 923 and 928 is 856544.