Least Common Multiple of 9963 and 9967

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 9967 the smallest integer that is 99301221 that is divisible by both numbers.

Least Common Multiple (LCM) of 9963 and 9967 is 99301221.

LCM(9963,9967) = 99301221

LCM of 9963 and 9967

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

LCM of:
and

Least Common Multiple of 9963 and 9967

LCM of 9963 and 9967 is 99301221

Least common multiple can be found by multiplying the highest exponent prime factors of 9963 and 9967. First we will calculate the prime factors of 9963 and 9967.

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 9967


9967 9967
1

Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:

9967 = 99671

Now multiplying the highest exponent prime factors to calculate the LCM of 9963 and 9967.

LCM(9963,9967) = 35×411×99671
LCM(9963,9967) = 99301221

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 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1, 9967

Least Common Multiple of 9963 and 9967 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 9967, than apply into the LCM equation.

GCF(9963,9967) = 1
LCM(9963,9967) = ( 9963 × 9967) / 1
LCM(9963,9967) = 99301221 / 1
LCM(9963,9967) = 99301221

Properties of LCM 9963 and 9967

(i) The LCM of 9967 and 9963 is associative

LCM of 9963 and 9967 = LCM of 9967 and 9963

Related Least Common Multiples of 9963

Related Least Common Multiples of 9967

Frequently Asked Questions on LCM of 9963 and 9967

1. What is the LCM of 9963 and 9967?

Answer: LCM of 9963 and 9967 is 99301221.

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 9967?

Answer: Factors of 9967 are 1, 9967. There are 2 integers that are factors of 9967. The greatest factor of 9967 is 9967.

4. How to Find the LCM of 9963 and 9967?

Answer:

Least Common Multiple of 9963 and 9967 = 99301221

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 9967

9967 = 9967

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

LCM = 99301221 = 3 x 3 x 3 x 3 x 3 x 41 x 9967

Step 4: Therefore, the least common multiple of 9963 and 9967 is 99301221.