Least Common Multiple of 963 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 963 and 969 the smallest integer that is 311049 that is divisible by both numbers.

Least Common Multiple (LCM) of 963 and 969 is 311049.

LCM(963,969) = 311049

LCM of 963 and 969

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

LCM of:
and

Least Common Multiple of 963 and 969

LCM of 963 and 969 is 311049

Least common multiple can be found by multiplying the highest exponent prime factors of 963 and 969. First we will calculate the prime factors of 963 and 969.

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 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 963 and 969.

LCM(963,969) = 32×171×191×1071
LCM(963,969) = 311049

Factors of 963

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

1, 3, 9, 107, 321, 963

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 963 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 963 and 969, than apply into the LCM equation.

GCF(963,969) = 3
LCM(963,969) = ( 963 × 969) / 3
LCM(963,969) = 933147 / 3
LCM(963,969) = 311049

Properties of LCM 963 and 969

(i) The LCM of 969 and 963 is associative

LCM of 963 and 969 = LCM of 969 and 963

Related Least Common Multiples of 963

Related Least Common Multiples of 969

Frequently Asked Questions on LCM of 963 and 969

1. What is the LCM of 963 and 969?

Answer: LCM of 963 and 969 is 311049.

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 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 963 and 969?

Answer:

Least Common Multiple of 963 and 969 = 311049

Step 1: Find the prime factorization of 963

963 = 3 x 3 x 107

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 = 311049 = 3 x 3 x 17 x 19 x 107

Step 4: Therefore, the least common multiple of 963 and 969 is 311049.