Least Common Multiple of 8520 and 8526

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 8526 the smallest integer that is 12106920 that is divisible by both numbers.

Least Common Multiple (LCM) of 8520 and 8526 is 12106920.

LCM(8520,8526) = 12106920

LCM of 8520 and 8526

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

LCM of:
and

Least Common Multiple of 8520 and 8526

LCM of 8520 and 8526 is 12106920

Least common multiple can be found by multiplying the highest exponent prime factors of 8520 and 8526. First we will calculate the prime factors of 8520 and 8526.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8520 and 8526.

LCM(8520,8526) = 23×31×51×72×291×711
LCM(8520,8526) = 12106920

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 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

Least Common Multiple of 8520 and 8526 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 8526, than apply into the LCM equation.

GCF(8520,8526) = 6
LCM(8520,8526) = ( 8520 × 8526) / 6
LCM(8520,8526) = 72641520 / 6
LCM(8520,8526) = 12106920

Properties of LCM 8520 and 8526

(i) The LCM of 8526 and 8520 is associative

LCM of 8520 and 8526 = LCM of 8526 and 8520

Related Least Common Multiples of 8520

Related Least Common Multiples of 8526

Frequently Asked Questions on LCM of 8520 and 8526

1. What is the LCM of 8520 and 8526?

Answer: LCM of 8520 and 8526 is 12106920.

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 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.

4. How to Find the LCM of 8520 and 8526?

Answer:

Least Common Multiple of 8520 and 8526 = 12106920

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 8526

8526 = 2 x 3 x 7 x 7 x 29

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

LCM = 12106920 = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 29 x 71

Step 4: Therefore, the least common multiple of 8520 and 8526 is 12106920.