Least Common Multiple of 9953 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 9953 and 9961 the smallest integer that is 99141833 that is divisible by both numbers.

Least Common Multiple (LCM) of 9953 and 9961 is 99141833.

LCM(9953,9961) = 99141833

LCM of 9953 and 9961

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

LCM of:
and

Least Common Multiple of 9953 and 9961

LCM of 9953 and 9961 is 99141833

Least common multiple can be found by multiplying the highest exponent prime factors of 9953 and 9961. First we will calculate the prime factors of 9953 and 9961.

Prime Factorization of 9953


37 9953
269 269
1

Prime factors of 9953 are 37,269. Prime factorization of 9953 in exponential form is:

9953 = 371×2691

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 9953 and 9961.

LCM(9953,9961) = 71×371×2691×14231
LCM(9953,9961) = 99141833

Factors of 9953

List of positive integer factors of 9953 that divides 9953 without a remainder.

1, 37, 269, 9953

Factors of 9961

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

1, 7, 1423, 9961

Least Common Multiple of 9953 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 9953 and 9961, than apply into the LCM equation.

GCF(9953,9961) = 1
LCM(9953,9961) = ( 9953 × 9961) / 1
LCM(9953,9961) = 99141833 / 1
LCM(9953,9961) = 99141833

Properties of LCM 9953 and 9961

(i) The LCM of 9961 and 9953 is associative

LCM of 9953 and 9961 = LCM of 9961 and 9953

Related Least Common Multiples of 9953

Related Least Common Multiples of 9961

Frequently Asked Questions on LCM of 9953 and 9961

1. What is the LCM of 9953 and 9961?

Answer: LCM of 9953 and 9961 is 99141833.

2. What are the Factors of 9953?

Answer: Factors of 9953 are 1, 37, 269, 9953. There are 4 integers that are factors of 9953. The greatest factor of 9953 is 9953.

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 9953 and 9961?

Answer:

Least Common Multiple of 9953 and 9961 = 99141833

Step 1: Find the prime factorization of 9953

9953 = 37 x 269

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 = 99141833 = 7 x 37 x 269 x 1423

Step 4: Therefore, the least common multiple of 9953 and 9961 is 99141833.