Least Common Multiple of 8526 and 8530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8526 and 8530 the smallest integer that is 36363390 that is divisible by both numbers.

Least Common Multiple (LCM) of 8526 and 8530 is 36363390.

LCM(8526,8530) = 36363390

LCM of 8526 and 8530

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

LCM of:
and

Least Common Multiple of 8526 and 8530

LCM of 8526 and 8530 is 36363390

Least common multiple can be found by multiplying the highest exponent prime factors of 8526 and 8530. First we will calculate the prime factors of 8526 and 8530.

Prime Factorization of 8526


2 8526
3 4263
7 1421
7 203
29 29
1

Prime factors of 8526 are 2, 3, 7,29. Prime factorization of 8526 in exponential form is:

8526 = 21×31×72×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8526 and 8530.

LCM(8526,8530) = 21×31×51×72×291×8531
LCM(8526,8530) = 36363390

Factors of 8526

List of positive integer factors of 8526 that divides 8526 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526

Factors of 8530

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

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

Least Common Multiple of 8526 and 8530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8526 and 8530, than apply into the LCM equation.

GCF(8526,8530) = 2
LCM(8526,8530) = ( 8526 × 8530) / 2
LCM(8526,8530) = 72726780 / 2
LCM(8526,8530) = 36363390

Properties of LCM 8526 and 8530

(i) The LCM of 8530 and 8526 is associative

LCM of 8526 and 8530 = LCM of 8530 and 8526

Related Least Common Multiples of 8526

Related Least Common Multiples of 8530

Frequently Asked Questions on LCM of 8526 and 8530

1. What is the LCM of 8526 and 8530?

Answer: LCM of 8526 and 8530 is 36363390.

2. What are the Factors of 8526?

Answer: Factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526. There are 24 integers that are factors of 8526. The greatest factor of 8526 is 8526.

3. 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.

4. How to Find the LCM of 8526 and 8530?

Answer:

Least Common Multiple of 8526 and 8530 = 36363390

Step 1: Find the prime factorization of 8526

8526 = 2 x 3 x 7 x 7 x 29

Step 2: Find the prime factorization of 8530

8530 = 2 x 5 x 853

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

LCM = 36363390 = 2 x 3 x 5 x 7 x 7 x 29 x 853

Step 4: Therefore, the least common multiple of 8526 and 8530 is 36363390.