Least Common Multiple of 933 and 937

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 937 the smallest integer that is 874221 that is divisible by both numbers.

Least Common Multiple (LCM) of 933 and 937 is 874221.

LCM(933,937) = 874221

LCM of 933 and 937

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

LCM of:
and

Least Common Multiple of 933 and 937

LCM of 933 and 937 is 874221

Least common multiple can be found by multiplying the highest exponent prime factors of 933 and 937. First we will calculate the prime factors of 933 and 937.

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 937


937 937
1

Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:

937 = 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 933 and 937.

LCM(933,937) = 31×3111×9371
LCM(933,937) = 874221

Factors of 933

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

1, 3, 311, 933

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1, 937

Least Common Multiple of 933 and 937 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 937, than apply into the LCM equation.

GCF(933,937) = 1
LCM(933,937) = ( 933 × 937) / 1
LCM(933,937) = 874221 / 1
LCM(933,937) = 874221

Properties of LCM 933 and 937

(i) The LCM of 937 and 933 is associative

LCM of 933 and 937 = LCM of 937 and 933

Related Least Common Multiples of 933

Related Least Common Multiples of 937

Frequently Asked Questions on LCM of 933 and 937

1. What is the LCM of 933 and 937?

Answer: LCM of 933 and 937 is 874221.

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 937?

Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.

4. How to Find the LCM of 933 and 937?

Answer:

Least Common Multiple of 933 and 937 = 874221

Step 1: Find the prime factorization of 933

933 = 3 x 311

Step 2: Find the prime factorization of 937

937 = 937

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

LCM = 874221 = 3 x 311 x 937

Step 4: Therefore, the least common multiple of 933 and 937 is 874221.