Least Common Multiple of 963 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 963 and 968 the smallest integer that is 932184 that is divisible by both numbers.

Least Common Multiple (LCM) of 963 and 968 is 932184.

LCM(963,968) = 932184

LCM of 963 and 968

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

LCM of:
and

Least Common Multiple of 963 and 968

LCM of 963 and 968 is 932184

Least common multiple can be found by multiplying the highest exponent prime factors of 963 and 968. First we will calculate the prime factors of 963 and 968.

Prime Factorization of 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

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 963 and 968.

LCM(963,968) = 23×32×112×1071
LCM(963,968) = 932184

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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 963 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 963 and 968, than apply into the LCM equation.

GCF(963,968) = 1
LCM(963,968) = ( 963 × 968) / 1
LCM(963,968) = 932184 / 1
LCM(963,968) = 932184

Properties of LCM 963 and 968

(i) The LCM of 968 and 963 is associative

LCM of 963 and 968 = LCM of 968 and 963

Related Least Common Multiples of 963

Related Least Common Multiples of 968

Frequently Asked Questions on LCM of 963 and 968

1. What is the LCM of 963 and 968?

Answer: LCM of 963 and 968 is 932184.

2. What are the Factors of 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

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 963 and 968?

Answer:

Least Common Multiple of 963 and 968 = 932184

Step 1: Find the prime factorization of 963

963 = 3 x 3 x 107

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 = 932184 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 107

Step 4: Therefore, the least common multiple of 963 and 968 is 932184.