Least Common Multiple of 933 and 938

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 938 the smallest integer that is 875154 that is divisible by both numbers.

Least Common Multiple (LCM) of 933 and 938 is 875154.

LCM(933,938) = 875154

LCM of 933 and 938

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

LCM of:
and

Least Common Multiple of 933 and 938

LCM of 933 and 938 is 875154

Least common multiple can be found by multiplying the highest exponent prime factors of 933 and 938. First we will calculate the prime factors of 933 and 938.

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 938


2 938
7 469
67 67
1

Prime factors of 938 are 2, 7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 933 and 938.

LCM(933,938) = 21×31×71×671×3111
LCM(933,938) = 875154

Factors of 933

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

1, 3, 311, 933

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Least Common Multiple of 933 and 938 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 938, than apply into the LCM equation.

GCF(933,938) = 1
LCM(933,938) = ( 933 × 938) / 1
LCM(933,938) = 875154 / 1
LCM(933,938) = 875154

Properties of LCM 933 and 938

(i) The LCM of 938 and 933 is associative

LCM of 933 and 938 = LCM of 938 and 933

Related Least Common Multiples of 933

Related Least Common Multiples of 938

Frequently Asked Questions on LCM of 933 and 938

1. What is the LCM of 933 and 938?

Answer: LCM of 933 and 938 is 875154.

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 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

4. How to Find the LCM of 933 and 938?

Answer:

Least Common Multiple of 933 and 938 = 875154

Step 1: Find the prime factorization of 933

933 = 3 x 311

Step 2: Find the prime factorization of 938

938 = 2 x 7 x 67

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

LCM = 875154 = 2 x 3 x 7 x 67 x 311

Step 4: Therefore, the least common multiple of 933 and 938 is 875154.