Least Common Multiple of 6930 and 6933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6930 and 6933 the smallest integer that is 16015230 that is divisible by both numbers.

Least Common Multiple (LCM) of 6930 and 6933 is 16015230.

LCM(6930,6933) = 16015230

LCM of 6930 and 6933

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

LCM of:
and

Least Common Multiple of 6930 and 6933

LCM of 6930 and 6933 is 16015230

Least common multiple can be found by multiplying the highest exponent prime factors of 6930 and 6933. First we will calculate the prime factors of 6930 and 6933.

Prime Factorization of 6930


2 6930
3 3465
3 1155
5 385
7 77
11 11
1

Prime factors of 6930 are 2, 3, 5, 7,11. Prime factorization of 6930 in exponential form is:

6930 = 21×32×51×71×111

Prime Factorization of 6933


3 6933
2311 2311
1

Prime factors of 6933 are 3,2311. Prime factorization of 6933 in exponential form is:

6933 = 31×23111

Now multiplying the highest exponent prime factors to calculate the LCM of 6930 and 6933.

LCM(6930,6933) = 21×32×51×71×111×23111
LCM(6930,6933) = 16015230

Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465, 6930

Factors of 6933

List of positive integer factors of 6933 that divides 6933 without a remainder.

1, 3, 2311, 6933

Least Common Multiple of 6930 and 6933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6930 and 6933, than apply into the LCM equation.

GCF(6930,6933) = 3
LCM(6930,6933) = ( 6930 × 6933) / 3
LCM(6930,6933) = 48045690 / 3
LCM(6930,6933) = 16015230

Properties of LCM 6930 and 6933

(i) The LCM of 6933 and 6930 is associative

LCM of 6930 and 6933 = LCM of 6933 and 6930

Related Least Common Multiples of 6930

Related Least Common Multiples of 6933

Frequently Asked Questions on LCM of 6930 and 6933

1. What is the LCM of 6930 and 6933?

Answer: LCM of 6930 and 6933 is 16015230.

2. What are the Factors of 6930?

Answer: Factors of 6930 are 1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465, 6930. There are 48 integers that are factors of 6930. The greatest factor of 6930 is 6930.

3. What are the Factors of 6933?

Answer: Factors of 6933 are 1, 3, 2311, 6933. There are 4 integers that are factors of 6933. The greatest factor of 6933 is 6933.

4. How to Find the LCM of 6930 and 6933?

Answer:

Least Common Multiple of 6930 and 6933 = 16015230

Step 1: Find the prime factorization of 6930

6930 = 2 x 3 x 3 x 5 x 7 x 11

Step 2: Find the prime factorization of 6933

6933 = 3 x 2311

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

LCM = 16015230 = 2 x 3 x 3 x 5 x 7 x 11 x 2311

Step 4: Therefore, the least common multiple of 6930 and 6933 is 16015230.