Least Common Multiple of 930 and 933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 930 and 933 the smallest integer that is 289230 that is divisible by both numbers.

Least Common Multiple (LCM) of 930 and 933 is 289230.

LCM(930,933) = 289230

LCM of 930 and 933

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

LCM of:
and

Least Common Multiple of 930 and 933

LCM of 930 and 933 is 289230

Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 933. First we will calculate the prime factors of 930 and 933.

Prime Factorization of 930


2 930
3 465
5 155
31 31
1

Prime factors of 930 are 2, 3, 5,31. Prime factorization of 930 in exponential form is:

930 = 21×31×51×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 930 and 933.

LCM(930,933) = 21×31×51×311×3111
LCM(930,933) = 289230

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Factors of 933

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

1, 3, 311, 933

Least Common Multiple of 930 and 933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 930 and 933, than apply into the LCM equation.

GCF(930,933) = 3
LCM(930,933) = ( 930 × 933) / 3
LCM(930,933) = 867690 / 3
LCM(930,933) = 289230

Properties of LCM 930 and 933

(i) The LCM of 933 and 930 is associative

LCM of 930 and 933 = LCM of 933 and 930

Related Least Common Multiples of 930

Related Least Common Multiples of 933

Frequently Asked Questions on LCM of 930 and 933

1. What is the LCM of 930 and 933?

Answer: LCM of 930 and 933 is 289230.

2. What are the Factors of 930?

Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.

3. 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.

4. How to Find the LCM of 930 and 933?

Answer:

Least Common Multiple of 930 and 933 = 289230

Step 1: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 933

933 = 3 x 311

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

LCM = 289230 = 2 x 3 x 5 x 31 x 311

Step 4: Therefore, the least common multiple of 930 and 933 is 289230.