Least Common Multiple of 956 and 960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 956 and 960 the smallest integer that is 229440 that is divisible by both numbers.

Least Common Multiple (LCM) of 956 and 960 is 229440.

LCM(956,960) = 229440

LCM of 956 and 960

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

LCM of:
and

Least Common Multiple of 956 and 960

LCM of 956 and 960 is 229440

Least common multiple can be found by multiplying the highest exponent prime factors of 956 and 960. First we will calculate the prime factors of 956 and 960.

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 956 and 960.

LCM(956,960) = 26×31×51×2391
LCM(956,960) = 229440

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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

Least Common Multiple of 956 and 960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 956 and 960, than apply into the LCM equation.

GCF(956,960) = 4
LCM(956,960) = ( 956 × 960) / 4
LCM(956,960) = 917760 / 4
LCM(956,960) = 229440

Properties of LCM 956 and 960

(i) The LCM of 960 and 956 is associative

LCM of 956 and 960 = LCM of 960 and 956

Related Least Common Multiples of 956

Related Least Common Multiples of 960

Frequently Asked Questions on LCM of 956 and 960

1. What is the LCM of 956 and 960?

Answer: LCM of 956 and 960 is 229440.

2. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

3. 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.

4. How to Find the LCM of 956 and 960?

Answer:

Least Common Multiple of 956 and 960 = 229440

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

Step 2: Find the prime factorization of 960

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

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

LCM = 229440 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 239

Step 4: Therefore, the least common multiple of 956 and 960 is 229440.