Least Common Multiple of 933 and 940

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 940 the smallest integer that is 877020 that is divisible by both numbers.

Least Common Multiple (LCM) of 933 and 940 is 877020.

LCM(933,940) = 877020

LCM of 933 and 940

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

LCM of:
and

Least Common Multiple of 933 and 940

LCM of 933 and 940 is 877020

Least common multiple can be found by multiplying the highest exponent prime factors of 933 and 940. First we will calculate the prime factors of 933 and 940.

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 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 933 and 940.

LCM(933,940) = 22×31×51×471×3111
LCM(933,940) = 877020

Factors of 933

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

1, 3, 311, 933

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Least Common Multiple of 933 and 940 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 940, than apply into the LCM equation.

GCF(933,940) = 1
LCM(933,940) = ( 933 × 940) / 1
LCM(933,940) = 877020 / 1
LCM(933,940) = 877020

Properties of LCM 933 and 940

(i) The LCM of 940 and 933 is associative

LCM of 933 and 940 = LCM of 940 and 933

Related Least Common Multiples of 933

Related Least Common Multiples of 940

Frequently Asked Questions on LCM of 933 and 940

1. What is the LCM of 933 and 940?

Answer: LCM of 933 and 940 is 877020.

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 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

4. How to Find the LCM of 933 and 940?

Answer:

Least Common Multiple of 933 and 940 = 877020

Step 1: Find the prime factorization of 933

933 = 3 x 311

Step 2: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

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

LCM = 877020 = 2 x 2 x 3 x 5 x 47 x 311

Step 4: Therefore, the least common multiple of 933 and 940 is 877020.