Least Common Multiple of 9528 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 9528 and 9535 the smallest integer that is 90849480 that is divisible by both numbers.

Least Common Multiple (LCM) of 9528 and 9535 is 90849480.

LCM(9528,9535) = 90849480

LCM of 9528 and 9535

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

LCM of:
and

Least Common Multiple of 9528 and 9535

LCM of 9528 and 9535 is 90849480

Least common multiple can be found by multiplying the highest exponent prime factors of 9528 and 9535. First we will calculate the prime factors of 9528 and 9535.

Prime Factorization of 9528


2 9528
2 4764
2 2382
3 1191
397 397
1

Prime factors of 9528 are 2, 3,397. Prime factorization of 9528 in exponential form is:

9528 = 23×31×3971

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 9528 and 9535.

LCM(9528,9535) = 23×31×51×3971×19071
LCM(9528,9535) = 90849480

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528

Factors of 9535

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

1, 5, 1907, 9535

Least Common Multiple of 9528 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 9528 and 9535, than apply into the LCM equation.

GCF(9528,9535) = 1
LCM(9528,9535) = ( 9528 × 9535) / 1
LCM(9528,9535) = 90849480 / 1
LCM(9528,9535) = 90849480

Properties of LCM 9528 and 9535

(i) The LCM of 9535 and 9528 is associative

LCM of 9528 and 9535 = LCM of 9535 and 9528

Related Least Common Multiples of 9528

Related Least Common Multiples of 9535

Frequently Asked Questions on LCM of 9528 and 9535

1. What is the LCM of 9528 and 9535?

Answer: LCM of 9528 and 9535 is 90849480.

2. What are the Factors of 9528?

Answer: Factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528. There are 16 integers that are factors of 9528. The greatest factor of 9528 is 9528.

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 9528 and 9535?

Answer:

Least Common Multiple of 9528 and 9535 = 90849480

Step 1: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

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 = 90849480 = 2 x 2 x 2 x 3 x 5 x 397 x 1907

Step 4: Therefore, the least common multiple of 9528 and 9535 is 90849480.