Least Common Multiple of 9546 and 9553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9546 and 9553 the smallest integer that is 91192938 that is divisible by both numbers.

Least Common Multiple (LCM) of 9546 and 9553 is 91192938.

LCM(9546,9553) = 91192938

LCM of 9546 and 9553

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

LCM of:
and

Least Common Multiple of 9546 and 9553

LCM of 9546 and 9553 is 91192938

Least common multiple can be found by multiplying the highest exponent prime factors of 9546 and 9553. First we will calculate the prime factors of 9546 and 9553.

Prime Factorization of 9546


2 9546
3 4773
37 1591
43 43
1

Prime factors of 9546 are 2, 3, 37,43. Prime factorization of 9546 in exponential form is:

9546 = 21×31×371×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9546 and 9553.

LCM(9546,9553) = 21×31×371×411×431×2331
LCM(9546,9553) = 91192938

Factors of 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546

Factors of 9553

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

1, 41, 233, 9553

Least Common Multiple of 9546 and 9553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9546 and 9553, than apply into the LCM equation.

GCF(9546,9553) = 1
LCM(9546,9553) = ( 9546 × 9553) / 1
LCM(9546,9553) = 91192938 / 1
LCM(9546,9553) = 91192938

Properties of LCM 9546 and 9553

(i) The LCM of 9553 and 9546 is associative

LCM of 9546 and 9553 = LCM of 9553 and 9546

Related Least Common Multiples of 9546

Related Least Common Multiples of 9553

Frequently Asked Questions on LCM of 9546 and 9553

1. What is the LCM of 9546 and 9553?

Answer: LCM of 9546 and 9553 is 91192938.

2. What are the Factors of 9546?

Answer: Factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546. There are 16 integers that are factors of 9546. The greatest factor of 9546 is 9546.

3. 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.

4. How to Find the LCM of 9546 and 9553?

Answer:

Least Common Multiple of 9546 and 9553 = 91192938

Step 1: Find the prime factorization of 9546

9546 = 2 x 3 x 37 x 43

Step 2: Find the prime factorization of 9553

9553 = 41 x 233

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

LCM = 91192938 = 2 x 3 x 37 x 41 x 43 x 233

Step 4: Therefore, the least common multiple of 9546 and 9553 is 91192938.