Least Common Multiple of 6960 and 6968

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 6968 the smallest integer that is 6062160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6960 and 6968 is 6062160.

LCM(6960,6968) = 6062160

LCM of 6960 and 6968

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

LCM of:
and

Least Common Multiple of 6960 and 6968

LCM of 6960 and 6968 is 6062160

Least common multiple can be found by multiplying the highest exponent prime factors of 6960 and 6968. First we will calculate the prime factors of 6960 and 6968.

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 6968


2 6968
2 3484
2 1742
13 871
67 67
1

Prime factors of 6968 are 2, 13,67. Prime factorization of 6968 in exponential form is:

6968 = 23×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6960 and 6968.

LCM(6960,6968) = 24×31×51×131×291×671
LCM(6960,6968) = 6062160

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 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968

Least Common Multiple of 6960 and 6968 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 6968, than apply into the LCM equation.

GCF(6960,6968) = 8
LCM(6960,6968) = ( 6960 × 6968) / 8
LCM(6960,6968) = 48497280 / 8
LCM(6960,6968) = 6062160

Properties of LCM 6960 and 6968

(i) The LCM of 6968 and 6960 is associative

LCM of 6960 and 6968 = LCM of 6968 and 6960

Related Least Common Multiples of 6960

Related Least Common Multiples of 6968

Frequently Asked Questions on LCM of 6960 and 6968

1. What is the LCM of 6960 and 6968?

Answer: LCM of 6960 and 6968 is 6062160.

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 6968?

Answer: Factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968. There are 16 integers that are factors of 6968. The greatest factor of 6968 is 6968.

4. How to Find the LCM of 6960 and 6968?

Answer:

Least Common Multiple of 6960 and 6968 = 6062160

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 6968

6968 = 2 x 2 x 2 x 13 x 67

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

LCM = 6062160 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 29 x 67

Step 4: Therefore, the least common multiple of 6960 and 6968 is 6062160.