Least Common Multiple of 8210 and 8215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8210 and 8215 the smallest integer that is 13489030 that is divisible by both numbers.

Least Common Multiple (LCM) of 8210 and 8215 is 13489030.

LCM(8210,8215) = 13489030

LCM of 8210 and 8215

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

LCM of:
and

Least Common Multiple of 8210 and 8215

LCM of 8210 and 8215 is 13489030

Least common multiple can be found by multiplying the highest exponent prime factors of 8210 and 8215. First we will calculate the prime factors of 8210 and 8215.

Prime Factorization of 8210


2 8210
5 4105
821 821
1

Prime factors of 8210 are 2, 5,821. Prime factorization of 8210 in exponential form is:

8210 = 21×51×8211

Prime Factorization of 8215


5 8215
31 1643
53 53
1

Prime factors of 8215 are 5, 31,53. Prime factorization of 8215 in exponential form is:

8215 = 51×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8210 and 8215.

LCM(8210,8215) = 21×51×311×531×8211
LCM(8210,8215) = 13489030

Factors of 8210

List of positive integer factors of 8210 that divides 8210 without a remainder.

1, 2, 5, 10, 821, 1642, 4105, 8210

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1, 5, 31, 53, 155, 265, 1643, 8215

Least Common Multiple of 8210 and 8215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8210 and 8215, than apply into the LCM equation.

GCF(8210,8215) = 5
LCM(8210,8215) = ( 8210 × 8215) / 5
LCM(8210,8215) = 67445150 / 5
LCM(8210,8215) = 13489030

Properties of LCM 8210 and 8215

(i) The LCM of 8215 and 8210 is associative

LCM of 8210 and 8215 = LCM of 8215 and 8210

Related Least Common Multiples of 8210

Related Least Common Multiples of 8215

Frequently Asked Questions on LCM of 8210 and 8215

1. What is the LCM of 8210 and 8215?

Answer: LCM of 8210 and 8215 is 13489030.

2. What are the Factors of 8210?

Answer: Factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210. There are 8 integers that are factors of 8210. The greatest factor of 8210 is 8210.

3. What are the Factors of 8215?

Answer: Factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215. There are 8 integers that are factors of 8215. The greatest factor of 8215 is 8215.

4. How to Find the LCM of 8210 and 8215?

Answer:

Least Common Multiple of 8210 and 8215 = 13489030

Step 1: Find the prime factorization of 8210

8210 = 2 x 5 x 821

Step 2: Find the prime factorization of 8215

8215 = 5 x 31 x 53

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

LCM = 13489030 = 2 x 5 x 31 x 53 x 821

Step 4: Therefore, the least common multiple of 8210 and 8215 is 13489030.