Least Common Multiple of 960 and 962

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 962 the smallest integer that is 461760 that is divisible by both numbers.

Least Common Multiple (LCM) of 960 and 962 is 461760.

LCM(960,962) = 461760

LCM of 960 and 962

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

LCM of:
and

Least Common Multiple of 960 and 962

LCM of 960 and 962 is 461760

Least common multiple can be found by multiplying the highest exponent prime factors of 960 and 962. First we will calculate the prime factors of 960 and 962.

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 962


2 962
13 481
37 37
1

Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 960 and 962.

LCM(960,962) = 26×31×51×131×371
LCM(960,962) = 461760

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 962

List of positive integer factors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Least Common Multiple of 960 and 962 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 962, than apply into the LCM equation.

GCF(960,962) = 2
LCM(960,962) = ( 960 × 962) / 2
LCM(960,962) = 923520 / 2
LCM(960,962) = 461760

Properties of LCM 960 and 962

(i) The LCM of 962 and 960 is associative

LCM of 960 and 962 = LCM of 962 and 960

Related Least Common Multiples of 960

Related Least Common Multiples of 962

Frequently Asked Questions on LCM of 960 and 962

1. What is the LCM of 960 and 962?

Answer: LCM of 960 and 962 is 461760.

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 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

4. How to Find the LCM of 960 and 962?

Answer:

Least Common Multiple of 960 and 962 = 461760

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 962

962 = 2 x 13 x 37

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

LCM = 461760 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 37

Step 4: Therefore, the least common multiple of 960 and 962 is 461760.