Least Common Multiple of 8520 and 8525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8520 and 8525 the smallest integer that is 14526600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8520 and 8525 is 14526600.

LCM(8520,8525) = 14526600

LCM of 8520 and 8525

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

LCM of:
and

Least Common Multiple of 8520 and 8525

LCM of 8520 and 8525 is 14526600

Least common multiple can be found by multiplying the highest exponent prime factors of 8520 and 8525. First we will calculate the prime factors of 8520 and 8525.

Prime Factorization of 8520


2 8520
2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 8520 are 2, 3, 5,71. Prime factorization of 8520 in exponential form is:

8520 = 23×31×51×711

Prime Factorization of 8525


5 8525
5 1705
11 341
31 31
1

Prime factors of 8525 are 5, 11,31. Prime factorization of 8525 in exponential form is:

8525 = 52×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8520 and 8525.

LCM(8520,8525) = 23×31×52×111×311×711
LCM(8520,8525) = 14526600

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525

Least Common Multiple of 8520 and 8525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8520 and 8525, than apply into the LCM equation.

GCF(8520,8525) = 5
LCM(8520,8525) = ( 8520 × 8525) / 5
LCM(8520,8525) = 72633000 / 5
LCM(8520,8525) = 14526600

Properties of LCM 8520 and 8525

(i) The LCM of 8525 and 8520 is associative

LCM of 8520 and 8525 = LCM of 8525 and 8520

Related Least Common Multiples of 8520

Related Least Common Multiples of 8525

Frequently Asked Questions on LCM of 8520 and 8525

1. What is the LCM of 8520 and 8525?

Answer: LCM of 8520 and 8525 is 14526600.

2. What are the Factors of 8520?

Answer: Factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520. There are 32 integers that are factors of 8520. The greatest factor of 8520 is 8520.

3. What are the Factors of 8525?

Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.

4. How to Find the LCM of 8520 and 8525?

Answer:

Least Common Multiple of 8520 and 8525 = 14526600

Step 1: Find the prime factorization of 8520

8520 = 2 x 2 x 2 x 3 x 5 x 71

Step 2: Find the prime factorization of 8525

8525 = 5 x 5 x 11 x 31

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

LCM = 14526600 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 31 x 71

Step 4: Therefore, the least common multiple of 8520 and 8525 is 14526600.