Least Common Multiple of 9530 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 9530 and 9534 the smallest integer that is 45429510 that is divisible by both numbers.

Least Common Multiple (LCM) of 9530 and 9534 is 45429510.

LCM(9530,9534) = 45429510

LCM of 9530 and 9534

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

LCM of:
and

Least Common Multiple of 9530 and 9534

LCM of 9530 and 9534 is 45429510

Least common multiple can be found by multiplying the highest exponent prime factors of 9530 and 9534. First we will calculate the prime factors of 9530 and 9534.

Prime Factorization of 9530


2 9530
5 4765
953 953
1

Prime factors of 9530 are 2, 5,953. Prime factorization of 9530 in exponential form is:

9530 = 21×51×9531

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 9530 and 9534.

LCM(9530,9534) = 21×31×51×71×2271×9531
LCM(9530,9534) = 45429510

Factors of 9530

List of positive integer factors of 9530 that divides 9530 without a remainder.

1, 2, 5, 10, 953, 1906, 4765, 9530

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 9530 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 9530 and 9534, than apply into the LCM equation.

GCF(9530,9534) = 2
LCM(9530,9534) = ( 9530 × 9534) / 2
LCM(9530,9534) = 90859020 / 2
LCM(9530,9534) = 45429510

Properties of LCM 9530 and 9534

(i) The LCM of 9534 and 9530 is associative

LCM of 9530 and 9534 = LCM of 9534 and 9530

Related Least Common Multiples of 9530

Related Least Common Multiples of 9534

Frequently Asked Questions on LCM of 9530 and 9534

1. What is the LCM of 9530 and 9534?

Answer: LCM of 9530 and 9534 is 45429510.

2. What are the Factors of 9530?

Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.

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 9530 and 9534?

Answer:

Least Common Multiple of 9530 and 9534 = 45429510

Step 1: Find the prime factorization of 9530

9530 = 2 x 5 x 953

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 = 45429510 = 2 x 3 x 5 x 7 x 227 x 953

Step 4: Therefore, the least common multiple of 9530 and 9534 is 45429510.