Least Common Multiple of 8530 and 8537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8530 and 8537 the smallest integer that is 72820610 that is divisible by both numbers.

Least Common Multiple (LCM) of 8530 and 8537 is 72820610.

LCM(8530,8537) = 72820610

LCM of 8530 and 8537

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

LCM of:
and

Least Common Multiple of 8530 and 8537

LCM of 8530 and 8537 is 72820610

Least common multiple can be found by multiplying the highest exponent prime factors of 8530 and 8537. First we will calculate the prime factors of 8530 and 8537.

Prime Factorization of 8530


2 8530
5 4265
853 853
1

Prime factors of 8530 are 2, 5,853. Prime factorization of 8530 in exponential form is:

8530 = 21×51×8531

Prime Factorization of 8537


8537 8537
1

Prime factors of 8537 are 8537. Prime factorization of 8537 in exponential form is:

8537 = 85371

Now multiplying the highest exponent prime factors to calculate the LCM of 8530 and 8537.

LCM(8530,8537) = 21×51×8531×85371
LCM(8530,8537) = 72820610

Factors of 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1, 2, 5, 10, 853, 1706, 4265, 8530

Factors of 8537

List of positive integer factors of 8537 that divides 8537 without a remainder.

1, 8537

Least Common Multiple of 8530 and 8537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8530 and 8537, than apply into the LCM equation.

GCF(8530,8537) = 1
LCM(8530,8537) = ( 8530 × 8537) / 1
LCM(8530,8537) = 72820610 / 1
LCM(8530,8537) = 72820610

Properties of LCM 8530 and 8537

(i) The LCM of 8537 and 8530 is associative

LCM of 8530 and 8537 = LCM of 8537 and 8530

Related Least Common Multiples of 8530

Related Least Common Multiples of 8537

Frequently Asked Questions on LCM of 8530 and 8537

1. What is the LCM of 8530 and 8537?

Answer: LCM of 8530 and 8537 is 72820610.

2. What are the Factors of 8530?

Answer: Factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530. There are 8 integers that are factors of 8530. The greatest factor of 8530 is 8530.

3. What are the Factors of 8537?

Answer: Factors of 8537 are 1, 8537. There are 2 integers that are factors of 8537. The greatest factor of 8537 is 8537.

4. How to Find the LCM of 8530 and 8537?

Answer:

Least Common Multiple of 8530 and 8537 = 72820610

Step 1: Find the prime factorization of 8530

8530 = 2 x 5 x 853

Step 2: Find the prime factorization of 8537

8537 = 8537

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

LCM = 72820610 = 2 x 5 x 853 x 8537

Step 4: Therefore, the least common multiple of 8530 and 8537 is 72820610.