Least Common Multiple of 9956 and 9962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9956 and 9962 the smallest integer that is 49590836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9956 and 9962 is 49590836.

LCM(9956,9962) = 49590836

LCM of 9956 and 9962

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

LCM of:
and

Least Common Multiple of 9956 and 9962

LCM of 9956 and 9962 is 49590836

Least common multiple can be found by multiplying the highest exponent prime factors of 9956 and 9962. First we will calculate the prime factors of 9956 and 9962.

Prime Factorization of 9956


2 9956
2 4978
19 2489
131 131
1

Prime factors of 9956 are 2, 19,131. Prime factorization of 9956 in exponential form is:

9956 = 22×191×1311

Prime Factorization of 9962


2 9962
17 4981
293 293
1

Prime factors of 9962 are 2, 17,293. Prime factorization of 9962 in exponential form is:

9962 = 21×171×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 9956 and 9962.

LCM(9956,9962) = 22×171×191×1311×2931
LCM(9956,9962) = 49590836

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956

Factors of 9962

List of positive integer factors of 9962 that divides 9962 without a remainder.

1, 2, 17, 34, 293, 586, 4981, 9962

Least Common Multiple of 9956 and 9962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9956 and 9962, than apply into the LCM equation.

GCF(9956,9962) = 2
LCM(9956,9962) = ( 9956 × 9962) / 2
LCM(9956,9962) = 99181672 / 2
LCM(9956,9962) = 49590836

Properties of LCM 9956 and 9962

(i) The LCM of 9962 and 9956 is associative

LCM of 9956 and 9962 = LCM of 9962 and 9956

Related Least Common Multiples of 9956

Related Least Common Multiples of 9962

Frequently Asked Questions on LCM of 9956 and 9962

1. What is the LCM of 9956 and 9962?

Answer: LCM of 9956 and 9962 is 49590836.

2. What are the Factors of 9956?

Answer: Factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956. There are 12 integers that are factors of 9956. The greatest factor of 9956 is 9956.

3. What are the Factors of 9962?

Answer: Factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962. There are 8 integers that are factors of 9962. The greatest factor of 9962 is 9962.

4. How to Find the LCM of 9956 and 9962?

Answer:

Least Common Multiple of 9956 and 9962 = 49590836

Step 1: Find the prime factorization of 9956

9956 = 2 x 2 x 19 x 131

Step 2: Find the prime factorization of 9962

9962 = 2 x 17 x 293

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

LCM = 49590836 = 2 x 2 x 17 x 19 x 131 x 293

Step 4: Therefore, the least common multiple of 9956 and 9962 is 49590836.