Least Common Multiple of 9526 and 9534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9526 and 9534 the smallest integer that is 45410442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9526 and 9534 is 45410442.

LCM(9526,9534) = 45410442

LCM of 9526 and 9534

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

LCM of:
and

Least Common Multiple of 9526 and 9534

LCM of 9526 and 9534 is 45410442

Least common multiple can be found by multiplying the highest exponent prime factors of 9526 and 9534. First we will calculate the prime factors of 9526 and 9534.

Prime Factorization of 9526


2 9526
11 4763
433 433
1

Prime factors of 9526 are 2, 11,433. Prime factorization of 9526 in exponential form is:

9526 = 21×111×4331

Prime Factorization of 9534


2 9534
3 4767
7 1589
227 227
1

Prime factors of 9534 are 2, 3, 7,227. Prime factorization of 9534 in exponential form is:

9534 = 21×31×71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 9526 and 9534.

LCM(9526,9534) = 21×31×71×111×2271×4331
LCM(9526,9534) = 45410442

Factors of 9526

List of positive integer factors of 9526 that divides 9526 without a remainder.

1, 2, 11, 22, 433, 866, 4763, 9526

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534

Least Common Multiple of 9526 and 9534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9526 and 9534, than apply into the LCM equation.

GCF(9526,9534) = 2
LCM(9526,9534) = ( 9526 × 9534) / 2
LCM(9526,9534) = 90820884 / 2
LCM(9526,9534) = 45410442

Properties of LCM 9526 and 9534

(i) The LCM of 9534 and 9526 is associative

LCM of 9526 and 9534 = LCM of 9534 and 9526

Related Least Common Multiples of 9526

Related Least Common Multiples of 9534

Frequently Asked Questions on LCM of 9526 and 9534

1. What is the LCM of 9526 and 9534?

Answer: LCM of 9526 and 9534 is 45410442.

2. What are the Factors of 9526?

Answer: Factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526. There are 8 integers that are factors of 9526. The greatest factor of 9526 is 9526.

3. What are the Factors of 9534?

Answer: Factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534. There are 16 integers that are factors of 9534. The greatest factor of 9534 is 9534.

4. How to Find the LCM of 9526 and 9534?

Answer:

Least Common Multiple of 9526 and 9534 = 45410442

Step 1: Find the prime factorization of 9526

9526 = 2 x 11 x 433

Step 2: Find the prime factorization of 9534

9534 = 2 x 3 x 7 x 227

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

LCM = 45410442 = 2 x 3 x 7 x 11 x 227 x 433

Step 4: Therefore, the least common multiple of 9526 and 9534 is 45410442.