Least Common Multiple of 6960 and 6966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6960 and 6966 the smallest integer that is 8080560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6960 and 6966 is 8080560.

LCM(6960,6966) = 8080560

LCM of 6960 and 6966

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

LCM of:
and

Least Common Multiple of 6960 and 6966

LCM of 6960 and 6966 is 8080560

Least common multiple can be found by multiplying the highest exponent prime factors of 6960 and 6966. First we will calculate the prime factors of 6960 and 6966.

Prime Factorization of 6960


2 6960
2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 6960 are 2, 3, 5,29. Prime factorization of 6960 in exponential form is:

6960 = 24×31×51×291

Prime Factorization of 6966


2 6966
3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 6966 are 2, 3,43. Prime factorization of 6966 in exponential form is:

6966 = 21×34×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6960 and 6966.

LCM(6960,6966) = 24×34×51×291×431
LCM(6960,6966) = 8080560

Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966

Least Common Multiple of 6960 and 6966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6960 and 6966, than apply into the LCM equation.

GCF(6960,6966) = 6
LCM(6960,6966) = ( 6960 × 6966) / 6
LCM(6960,6966) = 48483360 / 6
LCM(6960,6966) = 8080560

Properties of LCM 6960 and 6966

(i) The LCM of 6966 and 6960 is associative

LCM of 6960 and 6966 = LCM of 6966 and 6960

Related Least Common Multiples of 6960

Related Least Common Multiples of 6966

Frequently Asked Questions on LCM of 6960 and 6966

1. What is the LCM of 6960 and 6966?

Answer: LCM of 6960 and 6966 is 8080560.

2. What are the Factors of 6960?

Answer: Factors of 6960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960. There are 40 integers that are factors of 6960. The greatest factor of 6960 is 6960.

3. What are the Factors of 6966?

Answer: Factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966. There are 20 integers that are factors of 6966. The greatest factor of 6966 is 6966.

4. How to Find the LCM of 6960 and 6966?

Answer:

Least Common Multiple of 6960 and 6966 = 8080560

Step 1: Find the prime factorization of 6960

6960 = 2 x 2 x 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 6966

6966 = 2 x 3 x 3 x 3 x 3 x 43

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

LCM = 8080560 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 29 x 43

Step 4: Therefore, the least common multiple of 6960 and 6966 is 8080560.