Least Common Multiple of 960 and 967

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 967 the smallest integer that is 928320 that is divisible by both numbers.

Least Common Multiple (LCM) of 960 and 967 is 928320.

LCM(960,967) = 928320

LCM of 960 and 967

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

LCM of:
and

Least Common Multiple of 960 and 967

LCM of 960 and 967 is 928320

Least common multiple can be found by multiplying the highest exponent prime factors of 960 and 967. First we will calculate the prime factors of 960 and 967.

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 967


967 967
1

Prime factors of 967 are 967. Prime factorization of 967 in exponential form is:

967 = 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 960 and 967.

LCM(960,967) = 26×31×51×9671
LCM(960,967) = 928320

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 967

List of positive integer factors of 967 that divides 967 without a remainder.

1, 967

Least Common Multiple of 960 and 967 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 967, than apply into the LCM equation.

GCF(960,967) = 1
LCM(960,967) = ( 960 × 967) / 1
LCM(960,967) = 928320 / 1
LCM(960,967) = 928320

Properties of LCM 960 and 967

(i) The LCM of 967 and 960 is associative

LCM of 960 and 967 = LCM of 967 and 960

Related Least Common Multiples of 960

Related Least Common Multiples of 967

Frequently Asked Questions on LCM of 960 and 967

1. What is the LCM of 960 and 967?

Answer: LCM of 960 and 967 is 928320.

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 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

4. How to Find the LCM of 960 and 967?

Answer:

Least Common Multiple of 960 and 967 = 928320

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 967

967 = 967

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

LCM = 928320 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 967

Step 4: Therefore, the least common multiple of 960 and 967 is 928320.