Least Common Multiple of 6926 and 6930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6926 and 6930 the smallest integer that is 23998590 that is divisible by both numbers.

Least Common Multiple (LCM) of 6926 and 6930 is 23998590.

LCM(6926,6930) = 23998590

LCM of 6926 and 6930

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

LCM of:
and

Least Common Multiple of 6926 and 6930

LCM of 6926 and 6930 is 23998590

Least common multiple can be found by multiplying the highest exponent prime factors of 6926 and 6930. First we will calculate the prime factors of 6926 and 6930.

Prime Factorization of 6926


2 6926
3463 3463
1

Prime factors of 6926 are 2,3463. Prime factorization of 6926 in exponential form is:

6926 = 21×34631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6926 and 6930.

LCM(6926,6930) = 21×32×51×71×111×34631
LCM(6926,6930) = 23998590

Factors of 6926

List of positive integer factors of 6926 that divides 6926 without a remainder.

1, 2, 3463, 6926

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

Least Common Multiple of 6926 and 6930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6926 and 6930, than apply into the LCM equation.

GCF(6926,6930) = 2
LCM(6926,6930) = ( 6926 × 6930) / 2
LCM(6926,6930) = 47997180 / 2
LCM(6926,6930) = 23998590

Properties of LCM 6926 and 6930

(i) The LCM of 6930 and 6926 is associative

LCM of 6926 and 6930 = LCM of 6930 and 6926

Related Least Common Multiples of 6926

Related Least Common Multiples of 6930

Frequently Asked Questions on LCM of 6926 and 6930

1. What is the LCM of 6926 and 6930?

Answer: LCM of 6926 and 6930 is 23998590.

2. What are the Factors of 6926?

Answer: Factors of 6926 are 1, 2, 3463, 6926. There are 4 integers that are factors of 6926. The greatest factor of 6926 is 6926.

3. 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.

4. How to Find the LCM of 6926 and 6930?

Answer:

Least Common Multiple of 6926 and 6930 = 23998590

Step 1: Find the prime factorization of 6926

6926 = 2 x 3463

Step 2: Find the prime factorization of 6930

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

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

LCM = 23998590 = 2 x 3 x 3 x 5 x 7 x 11 x 3463

Step 4: Therefore, the least common multiple of 6926 and 6930 is 23998590.