Least Common Multiple of 9958 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 9958 and 9963 the smallest integer that is 99211554 that is divisible by both numbers.

Least Common Multiple (LCM) of 9958 and 9963 is 99211554.

LCM(9958,9963) = 99211554

LCM of 9958 and 9963

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

LCM of:
and

Least Common Multiple of 9958 and 9963

LCM of 9958 and 9963 is 99211554

Least common multiple can be found by multiplying the highest exponent prime factors of 9958 and 9963. First we will calculate the prime factors of 9958 and 9963.

Prime Factorization of 9958


2 9958
13 4979
383 383
1

Prime factors of 9958 are 2, 13,383. Prime factorization of 9958 in exponential form is:

9958 = 21×131×3831

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 9958 and 9963.

LCM(9958,9963) = 21×35×131×411×3831
LCM(9958,9963) = 99211554

Factors of 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1, 2, 13, 26, 383, 766, 4979, 9958

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 9958 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 9958 and 9963, than apply into the LCM equation.

GCF(9958,9963) = 1
LCM(9958,9963) = ( 9958 × 9963) / 1
LCM(9958,9963) = 99211554 / 1
LCM(9958,9963) = 99211554

Properties of LCM 9958 and 9963

(i) The LCM of 9963 and 9958 is associative

LCM of 9958 and 9963 = LCM of 9963 and 9958

Related Least Common Multiples of 9958

Related Least Common Multiples of 9963

Frequently Asked Questions on LCM of 9958 and 9963

1. What is the LCM of 9958 and 9963?

Answer: LCM of 9958 and 9963 is 99211554.

2. What are the Factors of 9958?

Answer: Factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958. There are 8 integers that are factors of 9958. The greatest factor of 9958 is 9958.

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 9958 and 9963?

Answer:

Least Common Multiple of 9958 and 9963 = 99211554

Step 1: Find the prime factorization of 9958

9958 = 2 x 13 x 383

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 = 99211554 = 2 x 3 x 3 x 3 x 3 x 3 x 13 x 41 x 383

Step 4: Therefore, the least common multiple of 9958 and 9963 is 99211554.