Least Common Multiple of 8510 and 8514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8510 and 8514 the smallest integer that is 36227070 that is divisible by both numbers.

Least Common Multiple (LCM) of 8510 and 8514 is 36227070.

LCM(8510,8514) = 36227070

LCM of 8510 and 8514

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

LCM of:
and

Least Common Multiple of 8510 and 8514

LCM of 8510 and 8514 is 36227070

Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8514. First we will calculate the prime factors of 8510 and 8514.

Prime Factorization of 8510


2 8510
5 4255
23 851
37 37
1

Prime factors of 8510 are 2, 5, 23,37. Prime factorization of 8510 in exponential form is:

8510 = 21×51×231×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8514.

LCM(8510,8514) = 21×32×51×111×231×371×431
LCM(8510,8514) = 36227070

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510

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

Least Common Multiple of 8510 and 8514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8510 and 8514, than apply into the LCM equation.

GCF(8510,8514) = 2
LCM(8510,8514) = ( 8510 × 8514) / 2
LCM(8510,8514) = 72454140 / 2
LCM(8510,8514) = 36227070

Properties of LCM 8510 and 8514

(i) The LCM of 8514 and 8510 is associative

LCM of 8510 and 8514 = LCM of 8514 and 8510

Related Least Common Multiples of 8510

Related Least Common Multiples of 8514

Frequently Asked Questions on LCM of 8510 and 8514

1. What is the LCM of 8510 and 8514?

Answer: LCM of 8510 and 8514 is 36227070.

2. What are the Factors of 8510?

Answer: Factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510. There are 16 integers that are factors of 8510. The greatest factor of 8510 is 8510.

3. 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.

4. How to Find the LCM of 8510 and 8514?

Answer:

Least Common Multiple of 8510 and 8514 = 36227070

Step 1: Find the prime factorization of 8510

8510 = 2 x 5 x 23 x 37

Step 2: Find the prime factorization of 8514

8514 = 2 x 3 x 3 x 11 x 43

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

LCM = 36227070 = 2 x 3 x 3 x 5 x 11 x 23 x 37 x 43

Step 4: Therefore, the least common multiple of 8510 and 8514 is 36227070.