Least Common Multiple of 961 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 961 and 966 the smallest integer that is 928326 that is divisible by both numbers.

Least Common Multiple (LCM) of 961 and 966 is 928326.

LCM(961,966) = 928326

LCM of 961 and 966

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

LCM of:
and

Least Common Multiple of 961 and 966

LCM of 961 and 966 is 928326

Least common multiple can be found by multiplying the highest exponent prime factors of 961 and 966. First we will calculate the prime factors of 961 and 966.

Prime Factorization of 961


31 961
31 31
1

Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:

961 = 312

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 961 and 966.

LCM(961,966) = 21×31×71×231×312
LCM(961,966) = 928326

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1, 31, 961

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 961 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 961 and 966, than apply into the LCM equation.

GCF(961,966) = 1
LCM(961,966) = ( 961 × 966) / 1
LCM(961,966) = 928326 / 1
LCM(961,966) = 928326

Properties of LCM 961 and 966

(i) The LCM of 966 and 961 is associative

LCM of 961 and 966 = LCM of 966 and 961

Related Least Common Multiples of 961

Related Least Common Multiples of 966

Frequently Asked Questions on LCM of 961 and 966

1. What is the LCM of 961 and 966?

Answer: LCM of 961 and 966 is 928326.

2. What are the Factors of 961?

Answer: Factors of 961 are 1, 31, 961. There are 3 integers that are factors of 961. The greatest factor of 961 is 961.

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 961 and 966?

Answer:

Least Common Multiple of 961 and 966 = 928326

Step 1: Find the prime factorization of 961

961 = 31 x 31

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 = 928326 = 2 x 3 x 7 x 23 x 31 x 31

Step 4: Therefore, the least common multiple of 961 and 966 is 928326.