Least Common Multiple of 933 and 941

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 941 the smallest integer that is 877953 that is divisible by both numbers.

Least Common Multiple (LCM) of 933 and 941 is 877953.

LCM(933,941) = 877953

LCM of 933 and 941

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

LCM of:
and

Least Common Multiple of 933 and 941

LCM of 933 and 941 is 877953

Least common multiple can be found by multiplying the highest exponent prime factors of 933 and 941. First we will calculate the prime factors of 933 and 941.

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 941


941 941
1

Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:

941 = 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 933 and 941.

LCM(933,941) = 31×3111×9411
LCM(933,941) = 877953

Factors of 933

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

1, 3, 311, 933

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1, 941

Least Common Multiple of 933 and 941 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 941, than apply into the LCM equation.

GCF(933,941) = 1
LCM(933,941) = ( 933 × 941) / 1
LCM(933,941) = 877953 / 1
LCM(933,941) = 877953

Properties of LCM 933 and 941

(i) The LCM of 941 and 933 is associative

LCM of 933 and 941 = LCM of 941 and 933

Related Least Common Multiples of 933

Related Least Common Multiples of 941

Frequently Asked Questions on LCM of 933 and 941

1. What is the LCM of 933 and 941?

Answer: LCM of 933 and 941 is 877953.

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 941?

Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.

4. How to Find the LCM of 933 and 941?

Answer:

Least Common Multiple of 933 and 941 = 877953

Step 1: Find the prime factorization of 933

933 = 3 x 311

Step 2: Find the prime factorization of 941

941 = 941

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

LCM = 877953 = 3 x 311 x 941

Step 4: Therefore, the least common multiple of 933 and 941 is 877953.