Least Common Multiple of 6930 and 6934

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 6934 the smallest integer that is 24026310 that is divisible by both numbers.

Least Common Multiple (LCM) of 6930 and 6934 is 24026310.

LCM(6930,6934) = 24026310

LCM of 6930 and 6934

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

LCM of:
and

Least Common Multiple of 6930 and 6934

LCM of 6930 and 6934 is 24026310

Least common multiple can be found by multiplying the highest exponent prime factors of 6930 and 6934. First we will calculate the prime factors of 6930 and 6934.

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 6934


2 6934
3467 3467
1

Prime factors of 6934 are 2,3467. Prime factorization of 6934 in exponential form is:

6934 = 21×34671

Now multiplying the highest exponent prime factors to calculate the LCM of 6930 and 6934.

LCM(6930,6934) = 21×32×51×71×111×34671
LCM(6930,6934) = 24026310

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 6934

List of positive integer factors of 6934 that divides 6934 without a remainder.

1, 2, 3467, 6934

Least Common Multiple of 6930 and 6934 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 6934, than apply into the LCM equation.

GCF(6930,6934) = 2
LCM(6930,6934) = ( 6930 × 6934) / 2
LCM(6930,6934) = 48052620 / 2
LCM(6930,6934) = 24026310

Properties of LCM 6930 and 6934

(i) The LCM of 6934 and 6930 is associative

LCM of 6930 and 6934 = LCM of 6934 and 6930

Related Least Common Multiples of 6930

Related Least Common Multiples of 6934

Frequently Asked Questions on LCM of 6930 and 6934

1. What is the LCM of 6930 and 6934?

Answer: LCM of 6930 and 6934 is 24026310.

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 6934?

Answer: Factors of 6934 are 1, 2, 3467, 6934. There are 4 integers that are factors of 6934. The greatest factor of 6934 is 6934.

4. How to Find the LCM of 6930 and 6934?

Answer:

Least Common Multiple of 6930 and 6934 = 24026310

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 6934

6934 = 2 x 3467

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

LCM = 24026310 = 2 x 3 x 3 x 5 x 7 x 11 x 3467

Step 4: Therefore, the least common multiple of 6930 and 6934 is 24026310.