Least Common Multiple of 9957 and 9963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9957 and 9963 the smallest integer that is 33067197 that is divisible by both numbers.

Least Common Multiple (LCM) of 9957 and 9963 is 33067197.

LCM(9957,9963) = 33067197

LCM of 9957 and 9963

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

LCM of:
and

Least Common Multiple of 9957 and 9963

LCM of 9957 and 9963 is 33067197

Least common multiple can be found by multiplying the highest exponent prime factors of 9957 and 9963. First we will calculate the prime factors of 9957 and 9963.

Prime Factorization of 9957


3 9957
3319 3319
1

Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:

9957 = 31×33191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9957 and 9963.

LCM(9957,9963) = 35×411×33191
LCM(9957,9963) = 33067197

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1, 3, 3319, 9957

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

Least Common Multiple of 9957 and 9963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9957 and 9963, than apply into the LCM equation.

GCF(9957,9963) = 3
LCM(9957,9963) = ( 9957 × 9963) / 3
LCM(9957,9963) = 99201591 / 3
LCM(9957,9963) = 33067197

Properties of LCM 9957 and 9963

(i) The LCM of 9963 and 9957 is associative

LCM of 9957 and 9963 = LCM of 9963 and 9957

Related Least Common Multiples of 9957

Related Least Common Multiples of 9963

Frequently Asked Questions on LCM of 9957 and 9963

1. What is the LCM of 9957 and 9963?

Answer: LCM of 9957 and 9963 is 33067197.

2. What are the Factors of 9957?

Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.

3. 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.

4. How to Find the LCM of 9957 and 9963?

Answer:

Least Common Multiple of 9957 and 9963 = 33067197

Step 1: Find the prime factorization of 9957

9957 = 3 x 3319

Step 2: Find the prime factorization of 9963

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

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

LCM = 33067197 = 3 x 3 x 3 x 3 x 3 x 41 x 3319

Step 4: Therefore, the least common multiple of 9957 and 9963 is 33067197.