Least Common Multiple of 9521 and 9528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9521 and 9528 the smallest integer that is 90716088 that is divisible by both numbers.

Least Common Multiple (LCM) of 9521 and 9528 is 90716088.

LCM(9521,9528) = 90716088

LCM of 9521 and 9528

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

LCM of:
and

Least Common Multiple of 9521 and 9528

LCM of 9521 and 9528 is 90716088

Least common multiple can be found by multiplying the highest exponent prime factors of 9521 and 9528. First we will calculate the prime factors of 9521 and 9528.

Prime Factorization of 9521


9521 9521
1

Prime factors of 9521 are 9521. Prime factorization of 9521 in exponential form is:

9521 = 95211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9521 and 9528.

LCM(9521,9528) = 23×31×3971×95211
LCM(9521,9528) = 90716088

Factors of 9521

List of positive integer factors of 9521 that divides 9521 without a remainder.

1, 9521

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

Least Common Multiple of 9521 and 9528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9521 and 9528, than apply into the LCM equation.

GCF(9521,9528) = 1
LCM(9521,9528) = ( 9521 × 9528) / 1
LCM(9521,9528) = 90716088 / 1
LCM(9521,9528) = 90716088

Properties of LCM 9521 and 9528

(i) The LCM of 9528 and 9521 is associative

LCM of 9521 and 9528 = LCM of 9528 and 9521

Related Least Common Multiples of 9521

Related Least Common Multiples of 9528

Frequently Asked Questions on LCM of 9521 and 9528

1. What is the LCM of 9521 and 9528?

Answer: LCM of 9521 and 9528 is 90716088.

2. What are the Factors of 9521?

Answer: Factors of 9521 are 1, 9521. There are 2 integers that are factors of 9521. The greatest factor of 9521 is 9521.

3. 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.

4. How to Find the LCM of 9521 and 9528?

Answer:

Least Common Multiple of 9521 and 9528 = 90716088

Step 1: Find the prime factorization of 9521

9521 = 9521

Step 2: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

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

LCM = 90716088 = 2 x 2 x 2 x 3 x 397 x 9521

Step 4: Therefore, the least common multiple of 9521 and 9528 is 90716088.