Least Common Multiple of 9961 and 9967

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 9967 the smallest integer that is 99281287 that is divisible by both numbers.

Least Common Multiple (LCM) of 9961 and 9967 is 99281287.

LCM(9961,9967) = 99281287

LCM of 9961 and 9967

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

LCM of:
and

Least Common Multiple of 9961 and 9967

LCM of 9961 and 9967 is 99281287

Least common multiple can be found by multiplying the highest exponent prime factors of 9961 and 9967. First we will calculate the prime factors of 9961 and 9967.

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 9967


9967 9967
1

Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:

9967 = 99671

Now multiplying the highest exponent prime factors to calculate the LCM of 9961 and 9967.

LCM(9961,9967) = 71×14231×99671
LCM(9961,9967) = 99281287

Factors of 9961

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

1, 7, 1423, 9961

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1, 9967

Least Common Multiple of 9961 and 9967 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 9967, than apply into the LCM equation.

GCF(9961,9967) = 1
LCM(9961,9967) = ( 9961 × 9967) / 1
LCM(9961,9967) = 99281287 / 1
LCM(9961,9967) = 99281287

Properties of LCM 9961 and 9967

(i) The LCM of 9967 and 9961 is associative

LCM of 9961 and 9967 = LCM of 9967 and 9961

Related Least Common Multiples of 9961

Related Least Common Multiples of 9967

Frequently Asked Questions on LCM of 9961 and 9967

1. What is the LCM of 9961 and 9967?

Answer: LCM of 9961 and 9967 is 99281287.

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 9967?

Answer: Factors of 9967 are 1, 9967. There are 2 integers that are factors of 9967. The greatest factor of 9967 is 9967.

4. How to Find the LCM of 9961 and 9967?

Answer:

Least Common Multiple of 9961 and 9967 = 99281287

Step 1: Find the prime factorization of 9961

9961 = 7 x 1423

Step 2: Find the prime factorization of 9967

9967 = 9967

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

LCM = 99281287 = 7 x 1423 x 9967

Step 4: Therefore, the least common multiple of 9961 and 9967 is 99281287.