Least Common Multiple of 9955 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 9955 and 9963 the smallest integer that is 99181665 that is divisible by both numbers.

Least Common Multiple (LCM) of 9955 and 9963 is 99181665.

LCM(9955,9963) = 99181665

LCM of 9955 and 9963

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

LCM of:
and

Least Common Multiple of 9955 and 9963

LCM of 9955 and 9963 is 99181665

Least common multiple can be found by multiplying the highest exponent prime factors of 9955 and 9963. First we will calculate the prime factors of 9955 and 9963.

Prime Factorization of 9955


5 9955
11 1991
181 181
1

Prime factors of 9955 are 5, 11,181. Prime factorization of 9955 in exponential form is:

9955 = 51×111×1811

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 9955 and 9963.

LCM(9955,9963) = 35×51×111×411×1811
LCM(9955,9963) = 99181665

Factors of 9955

List of positive integer factors of 9955 that divides 9955 without a remainder.

1, 5, 11, 55, 181, 905, 1991, 9955

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 9955 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 9955 and 9963, than apply into the LCM equation.

GCF(9955,9963) = 1
LCM(9955,9963) = ( 9955 × 9963) / 1
LCM(9955,9963) = 99181665 / 1
LCM(9955,9963) = 99181665

Properties of LCM 9955 and 9963

(i) The LCM of 9963 and 9955 is associative

LCM of 9955 and 9963 = LCM of 9963 and 9955

Related Least Common Multiples of 9955

Related Least Common Multiples of 9963

Frequently Asked Questions on LCM of 9955 and 9963

1. What is the LCM of 9955 and 9963?

Answer: LCM of 9955 and 9963 is 99181665.

2. What are the Factors of 9955?

Answer: Factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955. There are 8 integers that are factors of 9955. The greatest factor of 9955 is 9955.

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 9955 and 9963?

Answer:

Least Common Multiple of 9955 and 9963 = 99181665

Step 1: Find the prime factorization of 9955

9955 = 5 x 11 x 181

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 = 99181665 = 3 x 3 x 3 x 3 x 3 x 5 x 11 x 41 x 181

Step 4: Therefore, the least common multiple of 9955 and 9963 is 99181665.