Least Common Multiple of 9953 and 9957

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 9957 the smallest integer that is 99102021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9953 and 9957 is 99102021.

LCM(9953,9957) = 99102021

LCM of 9953 and 9957

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

LCM of:
and

Least Common Multiple of 9953 and 9957

LCM of 9953 and 9957 is 99102021

Least common multiple can be found by multiplying the highest exponent prime factors of 9953 and 9957. First we will calculate the prime factors of 9953 and 9957.

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 9957


3 9957
3319 3319
1

Prime factors of 9957 are 3,3319. Prime factorization of 9957 in exponential form is:

9957 = 31×33191

Now multiplying the highest exponent prime factors to calculate the LCM of 9953 and 9957.

LCM(9953,9957) = 31×371×2691×33191
LCM(9953,9957) = 99102021

Factors of 9953

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

1, 37, 269, 9953

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1, 3, 3319, 9957

Least Common Multiple of 9953 and 9957 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 9957, than apply into the LCM equation.

GCF(9953,9957) = 1
LCM(9953,9957) = ( 9953 × 9957) / 1
LCM(9953,9957) = 99102021 / 1
LCM(9953,9957) = 99102021

Properties of LCM 9953 and 9957

(i) The LCM of 9957 and 9953 is associative

LCM of 9953 and 9957 = LCM of 9957 and 9953

Related Least Common Multiples of 9953

Related Least Common Multiples of 9957

Frequently Asked Questions on LCM of 9953 and 9957

1. What is the LCM of 9953 and 9957?

Answer: LCM of 9953 and 9957 is 99102021.

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 9957?

Answer: Factors of 9957 are 1, 3, 3319, 9957. There are 4 integers that are factors of 9957. The greatest factor of 9957 is 9957.

4. How to Find the LCM of 9953 and 9957?

Answer:

Least Common Multiple of 9953 and 9957 = 99102021

Step 1: Find the prime factorization of 9953

9953 = 37 x 269

Step 2: Find the prime factorization of 9957

9957 = 3 x 3319

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

LCM = 99102021 = 3 x 37 x 269 x 3319

Step 4: Therefore, the least common multiple of 9953 and 9957 is 99102021.