Least Common Multiple of 962 and 966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 962 and 966 the smallest integer that is 464646 that is divisible by both numbers.

Least Common Multiple (LCM) of 962 and 966 is 464646.

LCM(962,966) = 464646

LCM of 962 and 966

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

LCM of:
and

Least Common Multiple of 962 and 966

LCM of 962 and 966 is 464646

Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 966. First we will calculate the prime factors of 962 and 966.

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

Prime Factorization of 966


2 966
3 483
7 161
23 23
1

Prime factors of 966 are 2, 3, 7,23. Prime factorization of 966 in exponential form is:

966 = 21×31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 966.

LCM(962,966) = 21×31×71×131×231×371
LCM(962,966) = 464646

Factors of 962

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

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

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Least Common Multiple of 962 and 966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 962 and 966, than apply into the LCM equation.

GCF(962,966) = 2
LCM(962,966) = ( 962 × 966) / 2
LCM(962,966) = 929292 / 2
LCM(962,966) = 464646

Properties of LCM 962 and 966

(i) The LCM of 966 and 962 is associative

LCM of 962 and 966 = LCM of 966 and 962

Related Least Common Multiples of 962

Related Least Common Multiples of 966

Frequently Asked Questions on LCM of 962 and 966

1. What is the LCM of 962 and 966?

Answer: LCM of 962 and 966 is 464646.

2. 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.

3. What are the Factors of 966?

Answer: Factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966. There are 16 integers that are factors of 966. The greatest factor of 966 is 966.

4. How to Find the LCM of 962 and 966?

Answer:

Least Common Multiple of 962 and 966 = 464646

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

Step 2: Find the prime factorization of 966

966 = 2 x 3 x 7 x 23

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

LCM = 464646 = 2 x 3 x 7 x 13 x 23 x 37

Step 4: Therefore, the least common multiple of 962 and 966 is 464646.