Least Common Multiple of 966 and 968

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 968 the smallest integer that is 467544 that is divisible by both numbers.

Least Common Multiple (LCM) of 966 and 968 is 467544.

LCM(966,968) = 467544

LCM of 966 and 968

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

LCM of:
and

Least Common Multiple of 966 and 968

LCM of 966 and 968 is 467544

Least common multiple can be found by multiplying the highest exponent prime factors of 966 and 968. First we will calculate the prime factors of 966 and 968.

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 968


2 968
2 484
2 242
11 121
11 11
1

Prime factors of 968 are 2,11. Prime factorization of 968 in exponential form is:

968 = 23×112

Now multiplying the highest exponent prime factors to calculate the LCM of 966 and 968.

LCM(966,968) = 23×31×71×112×231
LCM(966,968) = 467544

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 968

List of positive integer factors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Least Common Multiple of 966 and 968 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 968, than apply into the LCM equation.

GCF(966,968) = 2
LCM(966,968) = ( 966 × 968) / 2
LCM(966,968) = 935088 / 2
LCM(966,968) = 467544

Properties of LCM 966 and 968

(i) The LCM of 968 and 966 is associative

LCM of 966 and 968 = LCM of 968 and 966

Related Least Common Multiples of 966

Related Least Common Multiples of 968

Frequently Asked Questions on LCM of 966 and 968

1. What is the LCM of 966 and 968?

Answer: LCM of 966 and 968 is 467544.

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 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

4. How to Find the LCM of 966 and 968?

Answer:

Least Common Multiple of 966 and 968 = 467544

Step 1: Find the prime factorization of 966

966 = 2 x 3 x 7 x 23

Step 2: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

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

LCM = 467544 = 2 x 2 x 2 x 3 x 7 x 11 x 11 x 23

Step 4: Therefore, the least common multiple of 966 and 968 is 467544.