Least Common Multiple of 9958 and 9966

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 9966 the smallest integer that is 49620714 that is divisible by both numbers.

Least Common Multiple (LCM) of 9958 and 9966 is 49620714.

LCM(9958,9966) = 49620714

LCM of 9958 and 9966

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

LCM of:
and

Least Common Multiple of 9958 and 9966

LCM of 9958 and 9966 is 49620714

Least common multiple can be found by multiplying the highest exponent prime factors of 9958 and 9966. First we will calculate the prime factors of 9958 and 9966.

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 9966


2 9966
3 4983
11 1661
151 151
1

Prime factors of 9966 are 2, 3, 11,151. Prime factorization of 9966 in exponential form is:

9966 = 21×31×111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9958 and 9966.

LCM(9958,9966) = 21×31×111×131×1511×3831
LCM(9958,9966) = 49620714

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 9966

List of positive integer factors of 9966 that divides 9966 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966

Least Common Multiple of 9958 and 9966 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 9966, than apply into the LCM equation.

GCF(9958,9966) = 2
LCM(9958,9966) = ( 9958 × 9966) / 2
LCM(9958,9966) = 99241428 / 2
LCM(9958,9966) = 49620714

Properties of LCM 9958 and 9966

(i) The LCM of 9966 and 9958 is associative

LCM of 9958 and 9966 = LCM of 9966 and 9958

Related Least Common Multiples of 9958

Related Least Common Multiples of 9966

Frequently Asked Questions on LCM of 9958 and 9966

1. What is the LCM of 9958 and 9966?

Answer: LCM of 9958 and 9966 is 49620714.

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 9966?

Answer: Factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966. There are 16 integers that are factors of 9966. The greatest factor of 9966 is 9966.

4. How to Find the LCM of 9958 and 9966?

Answer:

Least Common Multiple of 9958 and 9966 = 49620714

Step 1: Find the prime factorization of 9958

9958 = 2 x 13 x 383

Step 2: Find the prime factorization of 9966

9966 = 2 x 3 x 11 x 151

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

LCM = 49620714 = 2 x 3 x 11 x 13 x 151 x 383

Step 4: Therefore, the least common multiple of 9958 and 9966 is 49620714.