Least Common Multiple of 8514 and 8520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8514 and 8520 the smallest integer that is 12089880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8514 and 8520 is 12089880.

LCM(8514,8520) = 12089880

LCM of 8514 and 8520

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

LCM of:
and

Least Common Multiple of 8514 and 8520

LCM of 8514 and 8520 is 12089880

Least common multiple can be found by multiplying the highest exponent prime factors of 8514 and 8520. First we will calculate the prime factors of 8514 and 8520.

Prime Factorization of 8514


2 8514
3 4257
3 1419
11 473
43 43
1

Prime factors of 8514 are 2, 3, 11,43. Prime factorization of 8514 in exponential form is:

8514 = 21×32×111×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8514 and 8520.

LCM(8514,8520) = 23×32×51×111×431×711
LCM(8514,8520) = 12089880

Factors of 8514

List of positive integer factors of 8514 that divides 8514 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514

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

Least Common Multiple of 8514 and 8520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8514 and 8520, than apply into the LCM equation.

GCF(8514,8520) = 6
LCM(8514,8520) = ( 8514 × 8520) / 6
LCM(8514,8520) = 72539280 / 6
LCM(8514,8520) = 12089880

Properties of LCM 8514 and 8520

(i) The LCM of 8520 and 8514 is associative

LCM of 8514 and 8520 = LCM of 8520 and 8514

Related Least Common Multiples of 8514

Related Least Common Multiples of 8520

Frequently Asked Questions on LCM of 8514 and 8520

1. What is the LCM of 8514 and 8520?

Answer: LCM of 8514 and 8520 is 12089880.

2. What are the Factors of 8514?

Answer: Factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514. There are 24 integers that are factors of 8514. The greatest factor of 8514 is 8514.

3. 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.

4. How to Find the LCM of 8514 and 8520?

Answer:

Least Common Multiple of 8514 and 8520 = 12089880

Step 1: Find the prime factorization of 8514

8514 = 2 x 3 x 3 x 11 x 43

Step 2: Find the prime factorization of 8520

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

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

LCM = 12089880 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 43 x 71

Step 4: Therefore, the least common multiple of 8514 and 8520 is 12089880.