Least Common Multiple of 9956 and 9961

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 9961 the smallest integer that is 99171716 that is divisible by both numbers.

Least Common Multiple (LCM) of 9956 and 9961 is 99171716.

LCM(9956,9961) = 99171716

LCM of 9956 and 9961

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

LCM of:
and

Least Common Multiple of 9956 and 9961

LCM of 9956 and 9961 is 99171716

Least common multiple can be found by multiplying the highest exponent prime factors of 9956 and 9961. First we will calculate the prime factors of 9956 and 9961.

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 9961


7 9961
1423 1423
1

Prime factors of 9961 are 7,1423. Prime factorization of 9961 in exponential form is:

9961 = 71×14231

Now multiplying the highest exponent prime factors to calculate the LCM of 9956 and 9961.

LCM(9956,9961) = 22×71×191×1311×14231
LCM(9956,9961) = 99171716

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 9961

List of positive integer factors of 9961 that divides 9961 without a remainder.

1, 7, 1423, 9961

Least Common Multiple of 9956 and 9961 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 9961, than apply into the LCM equation.

GCF(9956,9961) = 1
LCM(9956,9961) = ( 9956 × 9961) / 1
LCM(9956,9961) = 99171716 / 1
LCM(9956,9961) = 99171716

Properties of LCM 9956 and 9961

(i) The LCM of 9961 and 9956 is associative

LCM of 9956 and 9961 = LCM of 9961 and 9956

Related Least Common Multiples of 9956

Related Least Common Multiples of 9961

Frequently Asked Questions on LCM of 9956 and 9961

1. What is the LCM of 9956 and 9961?

Answer: LCM of 9956 and 9961 is 99171716.

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 9961?

Answer: Factors of 9961 are 1, 7, 1423, 9961. There are 4 integers that are factors of 9961. The greatest factor of 9961 is 9961.

4. How to Find the LCM of 9956 and 9961?

Answer:

Least Common Multiple of 9956 and 9961 = 99171716

Step 1: Find the prime factorization of 9956

9956 = 2 x 2 x 19 x 131

Step 2: Find the prime factorization of 9961

9961 = 7 x 1423

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

LCM = 99171716 = 2 x 2 x 7 x 19 x 131 x 1423

Step 4: Therefore, the least common multiple of 9956 and 9961 is 99171716.