Least Common Multiple of 9961 and 9969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9961 and 9969 the smallest integer that is 99301209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9961 and 9969 is 99301209.

LCM(9961,9969) = 99301209

LCM of 9961 and 9969

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

LCM of:
and

Least Common Multiple of 9961 and 9969

LCM of 9961 and 9969 is 99301209

Least common multiple can be found by multiplying the highest exponent prime factors of 9961 and 9969. First we will calculate the prime factors of 9961 and 9969.

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

Prime Factorization of 9969


3 9969
3323 3323
1

Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:

9969 = 31×33231

Now multiplying the highest exponent prime factors to calculate the LCM of 9961 and 9969.

LCM(9961,9969) = 31×71×14231×33231
LCM(9961,9969) = 99301209

Factors of 9961

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

1, 7, 1423, 9961

Factors of 9969

List of positive integer factors of 9969 that divides 9969 without a remainder.

1, 3, 3323, 9969

Least Common Multiple of 9961 and 9969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9961 and 9969, than apply into the LCM equation.

GCF(9961,9969) = 1
LCM(9961,9969) = ( 9961 × 9969) / 1
LCM(9961,9969) = 99301209 / 1
LCM(9961,9969) = 99301209

Properties of LCM 9961 and 9969

(i) The LCM of 9969 and 9961 is associative

LCM of 9961 and 9969 = LCM of 9969 and 9961

Related Least Common Multiples of 9961

Related Least Common Multiples of 9969

Frequently Asked Questions on LCM of 9961 and 9969

1. What is the LCM of 9961 and 9969?

Answer: LCM of 9961 and 9969 is 99301209.

2. 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.

3. What are the Factors of 9969?

Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.

4. How to Find the LCM of 9961 and 9969?

Answer:

Least Common Multiple of 9961 and 9969 = 99301209

Step 1: Find the prime factorization of 9961

9961 = 7 x 1423

Step 2: Find the prime factorization of 9969

9969 = 3 x 3323

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

LCM = 99301209 = 3 x 7 x 1423 x 3323

Step 4: Therefore, the least common multiple of 9961 and 9969 is 99301209.