Least Common Multiple of 957 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 957 and 960 the smallest integer that is 306240 that is divisible by both numbers.

Least Common Multiple (LCM) of 957 and 960 is 306240.

LCM(957,960) = 306240

LCM of 957 and 960

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

LCM of:
and

Least Common Multiple of 957 and 960

LCM of 957 and 960 is 306240

Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 960. First we will calculate the prime factors of 957 and 960.

Prime Factorization of 957


3 957
11 319
29 29
1

Prime factors of 957 are 3, 11,29. Prime factorization of 957 in exponential form is:

957 = 31×111×291

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 957 and 960.

LCM(957,960) = 26×31×51×111×291
LCM(957,960) = 306240

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

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 957 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 957 and 960, than apply into the LCM equation.

GCF(957,960) = 3
LCM(957,960) = ( 957 × 960) / 3
LCM(957,960) = 918720 / 3
LCM(957,960) = 306240

Properties of LCM 957 and 960

(i) The LCM of 960 and 957 is associative

LCM of 957 and 960 = LCM of 960 and 957

Related Least Common Multiples of 957

Related Least Common Multiples of 960

Frequently Asked Questions on LCM of 957 and 960

1. What is the LCM of 957 and 960?

Answer: LCM of 957 and 960 is 306240.

2. What are the Factors of 957?

Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.

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 957 and 960?

Answer:

Least Common Multiple of 957 and 960 = 306240

Step 1: Find the prime factorization of 957

957 = 3 x 11 x 29

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 = 306240 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 957 and 960 is 306240.