Least Common Multiple of 928 and 933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 928 and 933 the smallest integer that is 865824 that is divisible by both numbers.

Least Common Multiple (LCM) of 928 and 933 is 865824.

LCM(928,933) = 865824

LCM of 928 and 933

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

LCM of:
and

Least Common Multiple of 928 and 933

LCM of 928 and 933 is 865824

Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 933. First we will calculate the prime factors of 928 and 933.

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

Prime Factorization of 933


3 933
311 311
1

Prime factors of 933 are 3,311. Prime factorization of 933 in exponential form is:

933 = 31×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 928 and 933.

LCM(928,933) = 25×31×291×3111
LCM(928,933) = 865824

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

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Least Common Multiple of 928 and 933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 928 and 933, than apply into the LCM equation.

GCF(928,933) = 1
LCM(928,933) = ( 928 × 933) / 1
LCM(928,933) = 865824 / 1
LCM(928,933) = 865824

Properties of LCM 928 and 933

(i) The LCM of 933 and 928 is associative

LCM of 928 and 933 = LCM of 933 and 928

Related Least Common Multiples of 928

Related Least Common Multiples of 933

Frequently Asked Questions on LCM of 928 and 933

1. What is the LCM of 928 and 933?

Answer: LCM of 928 and 933 is 865824.

2. 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.

3. What are the Factors of 933?

Answer: Factors of 933 are 1, 3, 311, 933. There are 4 integers that are factors of 933. The greatest factor of 933 is 933.

4. How to Find the LCM of 928 and 933?

Answer:

Least Common Multiple of 928 and 933 = 865824

Step 1: Find the prime factorization of 928

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

Step 2: Find the prime factorization of 933

933 = 3 x 311

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

LCM = 865824 = 2 x 2 x 2 x 2 x 2 x 3 x 29 x 311

Step 4: Therefore, the least common multiple of 928 and 933 is 865824.