Least Common Multiple of 9535 and 9542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9535 and 9542 the smallest integer that is 90982970 that is divisible by both numbers.

Least Common Multiple (LCM) of 9535 and 9542 is 90982970.

LCM(9535,9542) = 90982970

LCM of 9535 and 9542

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

LCM of:
and

Least Common Multiple of 9535 and 9542

LCM of 9535 and 9542 is 90982970

Least common multiple can be found by multiplying the highest exponent prime factors of 9535 and 9542. First we will calculate the prime factors of 9535 and 9542.

Prime Factorization of 9535


5 9535
1907 1907
1

Prime factors of 9535 are 5,1907. Prime factorization of 9535 in exponential form is:

9535 = 51×19071

Prime Factorization of 9542


2 9542
13 4771
367 367
1

Prime factors of 9542 are 2, 13,367. Prime factorization of 9542 in exponential form is:

9542 = 21×131×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 9535 and 9542.

LCM(9535,9542) = 21×51×131×3671×19071
LCM(9535,9542) = 90982970

Factors of 9535

List of positive integer factors of 9535 that divides 9535 without a remainder.

1, 5, 1907, 9535

Factors of 9542

List of positive integer factors of 9542 that divides 9542 without a remainder.

1, 2, 13, 26, 367, 734, 4771, 9542

Least Common Multiple of 9535 and 9542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9535 and 9542, than apply into the LCM equation.

GCF(9535,9542) = 1
LCM(9535,9542) = ( 9535 × 9542) / 1
LCM(9535,9542) = 90982970 / 1
LCM(9535,9542) = 90982970

Properties of LCM 9535 and 9542

(i) The LCM of 9542 and 9535 is associative

LCM of 9535 and 9542 = LCM of 9542 and 9535

Related Least Common Multiples of 9535

Related Least Common Multiples of 9542

Frequently Asked Questions on LCM of 9535 and 9542

1. What is the LCM of 9535 and 9542?

Answer: LCM of 9535 and 9542 is 90982970.

2. What are the Factors of 9535?

Answer: Factors of 9535 are 1, 5, 1907, 9535. There are 4 integers that are factors of 9535. The greatest factor of 9535 is 9535.

3. What are the Factors of 9542?

Answer: Factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542. There are 8 integers that are factors of 9542. The greatest factor of 9542 is 9542.

4. How to Find the LCM of 9535 and 9542?

Answer:

Least Common Multiple of 9535 and 9542 = 90982970

Step 1: Find the prime factorization of 9535

9535 = 5 x 1907

Step 2: Find the prime factorization of 9542

9542 = 2 x 13 x 367

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

LCM = 90982970 = 2 x 5 x 13 x 367 x 1907

Step 4: Therefore, the least common multiple of 9535 and 9542 is 90982970.