Least Common Multiple of 966 and 969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 966 and 969 the smallest integer that is 312018 that is divisible by both numbers.

Least Common Multiple (LCM) of 966 and 969 is 312018.

LCM(966,969) = 312018

LCM of 966 and 969

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

LCM of:
and

Least Common Multiple of 966 and 969

LCM of 966 and 969 is 312018

Least common multiple can be found by multiplying the highest exponent prime factors of 966 and 969. First we will calculate the prime factors of 966 and 969.

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

Prime Factorization of 969


3 969
17 323
19 19
1

Prime factors of 969 are 3, 17,19. Prime factorization of 969 in exponential form is:

969 = 31×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 966 and 969.

LCM(966,969) = 21×31×71×171×191×231
LCM(966,969) = 312018

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

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Least Common Multiple of 966 and 969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 966 and 969, than apply into the LCM equation.

GCF(966,969) = 3
LCM(966,969) = ( 966 × 969) / 3
LCM(966,969) = 936054 / 3
LCM(966,969) = 312018

Properties of LCM 966 and 969

(i) The LCM of 969 and 966 is associative

LCM of 966 and 969 = LCM of 969 and 966

Related Least Common Multiples of 966

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 966 and 969

1. What is the LCM of 966 and 969?

Answer: LCM of 966 and 969 is 312018.

2. 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.

3. What are the Factors of 969?

Answer: Factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969. There are 8 integers that are factors of 969. The greatest factor of 969 is 969.

4. How to Find the LCM of 966 and 969?

Answer:

Least Common Multiple of 966 and 969 = 312018

Step 1: Find the prime factorization of 966

966 = 2 x 3 x 7 x 23

Step 2: Find the prime factorization of 969

969 = 3 x 17 x 19

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

LCM = 312018 = 2 x 3 x 7 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 966 and 969 is 312018.