Least Common Multiple of 6956 and 6960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6956 and 6960 the smallest integer that is 12103440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6956 and 6960 is 12103440.

LCM(6956,6960) = 12103440

LCM of 6956 and 6960

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

LCM of:
and

Least Common Multiple of 6956 and 6960

LCM of 6956 and 6960 is 12103440

Least common multiple can be found by multiplying the highest exponent prime factors of 6956 and 6960. First we will calculate the prime factors of 6956 and 6960.

Prime Factorization of 6956


2 6956
2 3478
37 1739
47 47
1

Prime factors of 6956 are 2, 37,47. Prime factorization of 6956 in exponential form is:

6956 = 22×371×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6956 and 6960.

LCM(6956,6960) = 24×31×51×291×371×471
LCM(6956,6960) = 12103440

Factors of 6956

List of positive integer factors of 6956 that divides 6956 without a remainder.

1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956

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

Least Common Multiple of 6956 and 6960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6956 and 6960, than apply into the LCM equation.

GCF(6956,6960) = 4
LCM(6956,6960) = ( 6956 × 6960) / 4
LCM(6956,6960) = 48413760 / 4
LCM(6956,6960) = 12103440

Properties of LCM 6956 and 6960

(i) The LCM of 6960 and 6956 is associative

LCM of 6956 and 6960 = LCM of 6960 and 6956

Related Least Common Multiples of 6956

Related Least Common Multiples of 6960

Frequently Asked Questions on LCM of 6956 and 6960

1. What is the LCM of 6956 and 6960?

Answer: LCM of 6956 and 6960 is 12103440.

2. What are the Factors of 6956?

Answer: Factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956. There are 12 integers that are factors of 6956. The greatest factor of 6956 is 6956.

3. 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.

4. How to Find the LCM of 6956 and 6960?

Answer:

Least Common Multiple of 6956 and 6960 = 12103440

Step 1: Find the prime factorization of 6956

6956 = 2 x 2 x 37 x 47

Step 2: Find the prime factorization of 6960

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

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

LCM = 12103440 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 37 x 47

Step 4: Therefore, the least common multiple of 6956 and 6960 is 12103440.