Least Common Multiple of 960 and 968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 960 and 968 the smallest integer that is 116160 that is divisible by both numbers.

Least Common Multiple (LCM) of 960 and 968 is 116160.

LCM(960,968) = 116160

LCM of 960 and 968

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

LCM of:
and

Least Common Multiple of 960 and 968

LCM of 960 and 968 is 116160

Least common multiple can be found by multiplying the highest exponent prime factors of 960 and 968. First we will calculate the prime factors of 960 and 968.

Prime Factorization of 960


2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 960 are 2, 3,5. Prime factorization of 960 in exponential form is:

960 = 26×31×51

Prime Factorization of 968


2 968
2 484
2 242
11 121
11 11
1

Prime factors of 968 are 2,11. Prime factorization of 968 in exponential form is:

968 = 23×112

Now multiplying the highest exponent prime factors to calculate the LCM of 960 and 968.

LCM(960,968) = 26×31×51×112
LCM(960,968) = 116160

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Least Common Multiple of 960 and 968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 960 and 968, than apply into the LCM equation.

GCF(960,968) = 8
LCM(960,968) = ( 960 × 968) / 8
LCM(960,968) = 929280 / 8
LCM(960,968) = 116160

Properties of LCM 960 and 968

(i) The LCM of 968 and 960 is associative

LCM of 960 and 968 = LCM of 968 and 960

Related Least Common Multiples of 960

Related Least Common Multiples of 968

Frequently Asked Questions on LCM of 960 and 968

1. What is the LCM of 960 and 968?

Answer: LCM of 960 and 968 is 116160.

2. What are the Factors of 960?

Answer: Factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960. There are 28 integers that are factors of 960. The greatest factor of 960 is 960.

3. What are the Factors of 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

4. How to Find the LCM of 960 and 968?

Answer:

Least Common Multiple of 960 and 968 = 116160

Step 1: Find the prime factorization of 960

960 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 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 = 116160 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 960 and 968 is 116160.