Least Common Multiple of 959 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 959 and 960 the smallest integer that is 920640 that is divisible by both numbers.

Least Common Multiple (LCM) of 959 and 960 is 920640.

LCM(959,960) = 920640

LCM of 959 and 960

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

LCM of:
and

Least Common Multiple of 959 and 960

LCM of 959 and 960 is 920640

Least common multiple can be found by multiplying the highest exponent prime factors of 959 and 960. First we will calculate the prime factors of 959 and 960.

Prime Factorization of 959


7 959
137 137
1

Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:

959 = 71×1371

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 959 and 960.

LCM(959,960) = 26×31×51×71×1371
LCM(959,960) = 920640

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1, 7, 137, 959

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 959 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 959 and 960, than apply into the LCM equation.

GCF(959,960) = 1
LCM(959,960) = ( 959 × 960) / 1
LCM(959,960) = 920640 / 1
LCM(959,960) = 920640

Properties of LCM 959 and 960

(i) The LCM of 960 and 959 is associative

LCM of 959 and 960 = LCM of 960 and 959

Related Least Common Multiples of 959

Related Least Common Multiples of 960

Frequently Asked Questions on LCM of 959 and 960

1. What is the LCM of 959 and 960?

Answer: LCM of 959 and 960 is 920640.

2. What are the Factors of 959?

Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.

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 959 and 960?

Answer:

Least Common Multiple of 959 and 960 = 920640

Step 1: Find the prime factorization of 959

959 = 7 x 137

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 = 920640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 137

Step 4: Therefore, the least common multiple of 959 and 960 is 920640.