Least Common Multiple of 932 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 932 and 933 the smallest integer that is 869556 that is divisible by both numbers.

Least Common Multiple (LCM) of 932 and 933 is 869556.

LCM(932,933) = 869556

LCM of 932 and 933

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

LCM of:
and

Least Common Multiple of 932 and 933

LCM of 932 and 933 is 869556

Least common multiple can be found by multiplying the highest exponent prime factors of 932 and 933. First we will calculate the prime factors of 932 and 933.

Prime Factorization of 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

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 932 and 933.

LCM(932,933) = 22×31×2331×3111
LCM(932,933) = 869556

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Factors of 933

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

1, 3, 311, 933

Least Common Multiple of 932 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 932 and 933, than apply into the LCM equation.

GCF(932,933) = 1
LCM(932,933) = ( 932 × 933) / 1
LCM(932,933) = 869556 / 1
LCM(932,933) = 869556

Properties of LCM 932 and 933

(i) The LCM of 933 and 932 is associative

LCM of 932 and 933 = LCM of 933 and 932

Related Least Common Multiples of 932

Related Least Common Multiples of 933

Frequently Asked Questions on LCM of 932 and 933

1. What is the LCM of 932 and 933?

Answer: LCM of 932 and 933 is 869556.

2. What are the Factors of 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

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 932 and 933?

Answer:

Least Common Multiple of 932 and 933 = 869556

Step 1: Find the prime factorization of 932

932 = 2 x 2 x 233

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 = 869556 = 2 x 2 x 3 x 233 x 311

Step 4: Therefore, the least common multiple of 932 and 933 is 869556.