Least Common Multiple of 9553 and 9557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9553 and 9557 the smallest integer that is 91298021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9553 and 9557 is 91298021.

LCM(9553,9557) = 91298021

LCM of 9553 and 9557

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

LCM of:
and

Least Common Multiple of 9553 and 9557

LCM of 9553 and 9557 is 91298021

Least common multiple can be found by multiplying the highest exponent prime factors of 9553 and 9557. First we will calculate the prime factors of 9553 and 9557.

Prime Factorization of 9553


41 9553
233 233
1

Prime factors of 9553 are 41,233. Prime factorization of 9553 in exponential form is:

9553 = 411×2331

Prime Factorization of 9557


19 9557
503 503
1

Prime factors of 9557 are 19,503. Prime factorization of 9557 in exponential form is:

9557 = 191×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 9553 and 9557.

LCM(9553,9557) = 191×411×2331×5031
LCM(9553,9557) = 91298021

Factors of 9553

List of positive integer factors of 9553 that divides 9553 without a remainder.

1, 41, 233, 9553

Factors of 9557

List of positive integer factors of 9557 that divides 9557 without a remainder.

1, 19, 503, 9557

Least Common Multiple of 9553 and 9557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9553 and 9557, than apply into the LCM equation.

GCF(9553,9557) = 1
LCM(9553,9557) = ( 9553 × 9557) / 1
LCM(9553,9557) = 91298021 / 1
LCM(9553,9557) = 91298021

Properties of LCM 9553 and 9557

(i) The LCM of 9557 and 9553 is associative

LCM of 9553 and 9557 = LCM of 9557 and 9553

Related Least Common Multiples of 9553

Related Least Common Multiples of 9557

Frequently Asked Questions on LCM of 9553 and 9557

1. What is the LCM of 9553 and 9557?

Answer: LCM of 9553 and 9557 is 91298021.

2. What are the Factors of 9553?

Answer: Factors of 9553 are 1, 41, 233, 9553. There are 4 integers that are factors of 9553. The greatest factor of 9553 is 9553.

3. What are the Factors of 9557?

Answer: Factors of 9557 are 1, 19, 503, 9557. There are 4 integers that are factors of 9557. The greatest factor of 9557 is 9557.

4. How to Find the LCM of 9553 and 9557?

Answer:

Least Common Multiple of 9553 and 9557 = 91298021

Step 1: Find the prime factorization of 9553

9553 = 41 x 233

Step 2: Find the prime factorization of 9557

9557 = 19 x 503

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

LCM = 91298021 = 19 x 41 x 233 x 503

Step 4: Therefore, the least common multiple of 9553 and 9557 is 91298021.