Least Common Multiple of 8514 and 8522

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 8522 the smallest integer that is 36278154 that is divisible by both numbers.

Least Common Multiple (LCM) of 8514 and 8522 is 36278154.

LCM(8514,8522) = 36278154

LCM of 8514 and 8522

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

LCM of:
and

Least Common Multiple of 8514 and 8522

LCM of 8514 and 8522 is 36278154

Least common multiple can be found by multiplying the highest exponent prime factors of 8514 and 8522. First we will calculate the prime factors of 8514 and 8522.

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 8522


2 8522
4261 4261
1

Prime factors of 8522 are 2,4261. Prime factorization of 8522 in exponential form is:

8522 = 21×42611

Now multiplying the highest exponent prime factors to calculate the LCM of 8514 and 8522.

LCM(8514,8522) = 21×32×111×431×42611
LCM(8514,8522) = 36278154

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 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1, 2, 4261, 8522

Least Common Multiple of 8514 and 8522 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 8522, than apply into the LCM equation.

GCF(8514,8522) = 2
LCM(8514,8522) = ( 8514 × 8522) / 2
LCM(8514,8522) = 72556308 / 2
LCM(8514,8522) = 36278154

Properties of LCM 8514 and 8522

(i) The LCM of 8522 and 8514 is associative

LCM of 8514 and 8522 = LCM of 8522 and 8514

Related Least Common Multiples of 8514

Related Least Common Multiples of 8522

Frequently Asked Questions on LCM of 8514 and 8522

1. What is the LCM of 8514 and 8522?

Answer: LCM of 8514 and 8522 is 36278154.

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 8522?

Answer: Factors of 8522 are 1, 2, 4261, 8522. There are 4 integers that are factors of 8522. The greatest factor of 8522 is 8522.

4. How to Find the LCM of 8514 and 8522?

Answer:

Least Common Multiple of 8514 and 8522 = 36278154

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 8522

8522 = 2 x 4261

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

LCM = 36278154 = 2 x 3 x 3 x 11 x 43 x 4261

Step 4: Therefore, the least common multiple of 8514 and 8522 is 36278154.