Least Common Multiple of 9958 and 9964

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 9964 the smallest integer that is 49610756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9958 and 9964 is 49610756.

LCM(9958,9964) = 49610756

LCM of 9958 and 9964

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

LCM of:
and

Least Common Multiple of 9958 and 9964

LCM of 9958 and 9964 is 49610756

Least common multiple can be found by multiplying the highest exponent prime factors of 9958 and 9964. First we will calculate the prime factors of 9958 and 9964.

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 9964


2 9964
2 4982
47 2491
53 53
1

Prime factors of 9964 are 2, 47,53. Prime factorization of 9964 in exponential form is:

9964 = 22×471×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9958 and 9964.

LCM(9958,9964) = 22×131×471×531×3831
LCM(9958,9964) = 49610756

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 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

Least Common Multiple of 9958 and 9964 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 9964, than apply into the LCM equation.

GCF(9958,9964) = 2
LCM(9958,9964) = ( 9958 × 9964) / 2
LCM(9958,9964) = 99221512 / 2
LCM(9958,9964) = 49610756

Properties of LCM 9958 and 9964

(i) The LCM of 9964 and 9958 is associative

LCM of 9958 and 9964 = LCM of 9964 and 9958

Related Least Common Multiples of 9958

Related Least Common Multiples of 9964

Frequently Asked Questions on LCM of 9958 and 9964

1. What is the LCM of 9958 and 9964?

Answer: LCM of 9958 and 9964 is 49610756.

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 9964?

Answer: Factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964. There are 12 integers that are factors of 9964. The greatest factor of 9964 is 9964.

4. How to Find the LCM of 9958 and 9964?

Answer:

Least Common Multiple of 9958 and 9964 = 49610756

Step 1: Find the prime factorization of 9958

9958 = 2 x 13 x 383

Step 2: Find the prime factorization of 9964

9964 = 2 x 2 x 47 x 53

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

LCM = 49610756 = 2 x 2 x 13 x 47 x 53 x 383

Step 4: Therefore, the least common multiple of 9958 and 9964 is 49610756.