Least Common Multiple of 9527 and 9535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9527 and 9535 the smallest integer that is 90839945 that is divisible by both numbers.

Least Common Multiple (LCM) of 9527 and 9535 is 90839945.

LCM(9527,9535) = 90839945

LCM of 9527 and 9535

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

LCM of:
and

Least Common Multiple of 9527 and 9535

LCM of 9527 and 9535 is 90839945

Least common multiple can be found by multiplying the highest exponent prime factors of 9527 and 9535. First we will calculate the prime factors of 9527 and 9535.

Prime Factorization of 9527


7 9527
1361 1361
1

Prime factors of 9527 are 7,1361. Prime factorization of 9527 in exponential form is:

9527 = 71×13611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9527 and 9535.

LCM(9527,9535) = 51×71×13611×19071
LCM(9527,9535) = 90839945

Factors of 9527

List of positive integer factors of 9527 that divides 9527 without a remainder.

1, 7, 1361, 9527

Factors of 9535

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

1, 5, 1907, 9535

Least Common Multiple of 9527 and 9535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9527 and 9535, than apply into the LCM equation.

GCF(9527,9535) = 1
LCM(9527,9535) = ( 9527 × 9535) / 1
LCM(9527,9535) = 90839945 / 1
LCM(9527,9535) = 90839945

Properties of LCM 9527 and 9535

(i) The LCM of 9535 and 9527 is associative

LCM of 9527 and 9535 = LCM of 9535 and 9527

Related Least Common Multiples of 9527

Related Least Common Multiples of 9535

Frequently Asked Questions on LCM of 9527 and 9535

1. What is the LCM of 9527 and 9535?

Answer: LCM of 9527 and 9535 is 90839945.

2. What are the Factors of 9527?

Answer: Factors of 9527 are 1, 7, 1361, 9527. There are 4 integers that are factors of 9527. The greatest factor of 9527 is 9527.

3. 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.

4. How to Find the LCM of 9527 and 9535?

Answer:

Least Common Multiple of 9527 and 9535 = 90839945

Step 1: Find the prime factorization of 9527

9527 = 7 x 1361

Step 2: Find the prime factorization of 9535

9535 = 5 x 1907

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

LCM = 90839945 = 5 x 7 x 1361 x 1907

Step 4: Therefore, the least common multiple of 9527 and 9535 is 90839945.