Least Common Multiple of 8502 and 8507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8502 and 8507 the smallest integer that is 72326514 that is divisible by both numbers.

Least Common Multiple (LCM) of 8502 and 8507 is 72326514.

LCM(8502,8507) = 72326514

LCM of 8502 and 8507

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

LCM of:
and

Least Common Multiple of 8502 and 8507

LCM of 8502 and 8507 is 72326514

Least common multiple can be found by multiplying the highest exponent prime factors of 8502 and 8507. First we will calculate the prime factors of 8502 and 8507.

Prime Factorization of 8502


2 8502
3 4251
13 1417
109 109
1

Prime factors of 8502 are 2, 3, 13,109. Prime factorization of 8502 in exponential form is:

8502 = 21×31×131×1091

Prime Factorization of 8507


47 8507
181 181
1

Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:

8507 = 471×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 8502 and 8507.

LCM(8502,8507) = 21×31×131×471×1091×1811
LCM(8502,8507) = 72326514

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1, 47, 181, 8507

Least Common Multiple of 8502 and 8507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8502 and 8507, than apply into the LCM equation.

GCF(8502,8507) = 1
LCM(8502,8507) = ( 8502 × 8507) / 1
LCM(8502,8507) = 72326514 / 1
LCM(8502,8507) = 72326514

Properties of LCM 8502 and 8507

(i) The LCM of 8507 and 8502 is associative

LCM of 8502 and 8507 = LCM of 8507 and 8502

Related Least Common Multiples of 8502

Related Least Common Multiples of 8507

Frequently Asked Questions on LCM of 8502 and 8507

1. What is the LCM of 8502 and 8507?

Answer: LCM of 8502 and 8507 is 72326514.

2. What are the Factors of 8502?

Answer: Factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502. There are 16 integers that are factors of 8502. The greatest factor of 8502 is 8502.

3. What are the Factors of 8507?

Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.

4. How to Find the LCM of 8502 and 8507?

Answer:

Least Common Multiple of 8502 and 8507 = 72326514

Step 1: Find the prime factorization of 8502

8502 = 2 x 3 x 13 x 109

Step 2: Find the prime factorization of 8507

8507 = 47 x 181

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

LCM = 72326514 = 2 x 3 x 13 x 47 x 109 x 181

Step 4: Therefore, the least common multiple of 8502 and 8507 is 72326514.