Least Common Multiple of 6920 and 6926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6920 and 6926 the smallest integer that is 23963960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6920 and 6926 is 23963960.

LCM(6920,6926) = 23963960

LCM of 6920 and 6926

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

LCM of:
and

Least Common Multiple of 6920 and 6926

LCM of 6920 and 6926 is 23963960

Least common multiple can be found by multiplying the highest exponent prime factors of 6920 and 6926. First we will calculate the prime factors of 6920 and 6926.

Prime Factorization of 6920


2 6920
2 3460
2 1730
5 865
173 173
1

Prime factors of 6920 are 2, 5,173. Prime factorization of 6920 in exponential form is:

6920 = 23×51×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6920 and 6926.

LCM(6920,6926) = 23×51×1731×34631
LCM(6920,6926) = 23963960

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920

Factors of 6926

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

1, 2, 3463, 6926

Least Common Multiple of 6920 and 6926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6920 and 6926, than apply into the LCM equation.

GCF(6920,6926) = 2
LCM(6920,6926) = ( 6920 × 6926) / 2
LCM(6920,6926) = 47927920 / 2
LCM(6920,6926) = 23963960

Properties of LCM 6920 and 6926

(i) The LCM of 6926 and 6920 is associative

LCM of 6920 and 6926 = LCM of 6926 and 6920

Related Least Common Multiples of 6920

Related Least Common Multiples of 6926

Frequently Asked Questions on LCM of 6920 and 6926

1. What is the LCM of 6920 and 6926?

Answer: LCM of 6920 and 6926 is 23963960.

2. What are the Factors of 6920?

Answer: Factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920. There are 16 integers that are factors of 6920. The greatest factor of 6920 is 6920.

3. 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.

4. How to Find the LCM of 6920 and 6926?

Answer:

Least Common Multiple of 6920 and 6926 = 23963960

Step 1: Find the prime factorization of 6920

6920 = 2 x 2 x 2 x 5 x 173

Step 2: Find the prime factorization of 6926

6926 = 2 x 3463

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

LCM = 23963960 = 2 x 2 x 2 x 5 x 173 x 3463

Step 4: Therefore, the least common multiple of 6920 and 6926 is 23963960.