Least Common Multiple of 9963 and 9969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9963 and 9969 the smallest integer that is 33107049 that is divisible by both numbers.

Least Common Multiple (LCM) of 9963 and 9969 is 33107049.

LCM(9963,9969) = 33107049

LCM of 9963 and 9969

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

LCM of:
and

Least Common Multiple of 9963 and 9969

LCM of 9963 and 9969 is 33107049

Least common multiple can be found by multiplying the highest exponent prime factors of 9963 and 9969. First we will calculate the prime factors of 9963 and 9969.

Prime Factorization of 9963


3 9963
3 3321
3 1107
3 369
3 123
41 41
1

Prime factors of 9963 are 3,41. Prime factorization of 9963 in exponential form is:

9963 = 35×411

Prime Factorization of 9969


3 9969
3323 3323
1

Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:

9969 = 31×33231

Now multiplying the highest exponent prime factors to calculate the LCM of 9963 and 9969.

LCM(9963,9969) = 35×411×33231
LCM(9963,9969) = 33107049

Factors of 9963

List of positive integer factors of 9963 that divides 9963 without a remainder.

1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963

Factors of 9969

List of positive integer factors of 9969 that divides 9969 without a remainder.

1, 3, 3323, 9969

Least Common Multiple of 9963 and 9969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9963 and 9969, than apply into the LCM equation.

GCF(9963,9969) = 3
LCM(9963,9969) = ( 9963 × 9969) / 3
LCM(9963,9969) = 99321147 / 3
LCM(9963,9969) = 33107049

Properties of LCM 9963 and 9969

(i) The LCM of 9969 and 9963 is associative

LCM of 9963 and 9969 = LCM of 9969 and 9963

Related Least Common Multiples of 9963

Related Least Common Multiples of 9969

Frequently Asked Questions on LCM of 9963 and 9969

1. What is the LCM of 9963 and 9969?

Answer: LCM of 9963 and 9969 is 33107049.

2. What are the Factors of 9963?

Answer: Factors of 9963 are 1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963. There are 12 integers that are factors of 9963. The greatest factor of 9963 is 9963.

3. What are the Factors of 9969?

Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.

4. How to Find the LCM of 9963 and 9969?

Answer:

Least Common Multiple of 9963 and 9969 = 33107049

Step 1: Find the prime factorization of 9963

9963 = 3 x 3 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 9969

9969 = 3 x 3323

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

LCM = 33107049 = 3 x 3 x 3 x 3 x 3 x 41 x 3323

Step 4: Therefore, the least common multiple of 9963 and 9969 is 33107049.