Least Common Multiple of 6930 and 6935

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 6935 the smallest integer that is 9611910 that is divisible by both numbers.

Least Common Multiple (LCM) of 6930 and 6935 is 9611910.

LCM(6930,6935) = 9611910

LCM of 6930 and 6935

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

LCM of:
and

Least Common Multiple of 6930 and 6935

LCM of 6930 and 6935 is 9611910

Least common multiple can be found by multiplying the highest exponent prime factors of 6930 and 6935. First we will calculate the prime factors of 6930 and 6935.

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 6935


5 6935
19 1387
73 73
1

Prime factors of 6935 are 5, 19,73. Prime factorization of 6935 in exponential form is:

6935 = 51×191×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6930 and 6935.

LCM(6930,6935) = 21×32×51×71×111×191×731
LCM(6930,6935) = 9611910

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 6935

List of positive integer factors of 6935 that divides 6935 without a remainder.

1, 5, 19, 73, 95, 365, 1387, 6935

Least Common Multiple of 6930 and 6935 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 6935, than apply into the LCM equation.

GCF(6930,6935) = 5
LCM(6930,6935) = ( 6930 × 6935) / 5
LCM(6930,6935) = 48059550 / 5
LCM(6930,6935) = 9611910

Properties of LCM 6930 and 6935

(i) The LCM of 6935 and 6930 is associative

LCM of 6930 and 6935 = LCM of 6935 and 6930

Related Least Common Multiples of 6930

Related Least Common Multiples of 6935

Frequently Asked Questions on LCM of 6930 and 6935

1. What is the LCM of 6930 and 6935?

Answer: LCM of 6930 and 6935 is 9611910.

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 6935?

Answer: Factors of 6935 are 1, 5, 19, 73, 95, 365, 1387, 6935. There are 8 integers that are factors of 6935. The greatest factor of 6935 is 6935.

4. How to Find the LCM of 6930 and 6935?

Answer:

Least Common Multiple of 6930 and 6935 = 9611910

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 6935

6935 = 5 x 19 x 73

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

LCM = 9611910 = 2 x 3 x 3 x 5 x 7 x 11 x 19 x 73

Step 4: Therefore, the least common multiple of 6930 and 6935 is 9611910.