Least Common Multiple of 933 and 936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 933 and 936 the smallest integer that is 291096 that is divisible by both numbers.

Least Common Multiple (LCM) of 933 and 936 is 291096.

LCM(933,936) = 291096

LCM of 933 and 936

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

LCM of:
and

Least Common Multiple of 933 and 936

LCM of 933 and 936 is 291096

Least common multiple can be found by multiplying the highest exponent prime factors of 933 and 936. First we will calculate the prime factors of 933 and 936.

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

Prime Factorization of 936


2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 936 are 2, 3,13. Prime factorization of 936 in exponential form is:

936 = 23×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 933 and 936.

LCM(933,936) = 23×32×131×3111
LCM(933,936) = 291096

Factors of 933

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

1, 3, 311, 933

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Least Common Multiple of 933 and 936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 933 and 936, than apply into the LCM equation.

GCF(933,936) = 3
LCM(933,936) = ( 933 × 936) / 3
LCM(933,936) = 873288 / 3
LCM(933,936) = 291096

Properties of LCM 933 and 936

(i) The LCM of 936 and 933 is associative

LCM of 933 and 936 = LCM of 936 and 933

Related Least Common Multiples of 933

Related Least Common Multiples of 936

Frequently Asked Questions on LCM of 933 and 936

1. What is the LCM of 933 and 936?

Answer: LCM of 933 and 936 is 291096.

2. 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.

3. What are the Factors of 936?

Answer: Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. There are 24 integers that are factors of 936. The greatest factor of 936 is 936.

4. How to Find the LCM of 933 and 936?

Answer:

Least Common Multiple of 933 and 936 = 291096

Step 1: Find the prime factorization of 933

933 = 3 x 311

Step 2: Find the prime factorization of 936

936 = 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 291096 = 2 x 2 x 2 x 3 x 3 x 13 x 311

Step 4: Therefore, the least common multiple of 933 and 936 is 291096.