Least Common Multiple of 8203 and 8210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8203 and 8210 the smallest integer that is 67346630 that is divisible by both numbers.

Least Common Multiple (LCM) of 8203 and 8210 is 67346630.

LCM(8203,8210) = 67346630

LCM of 8203 and 8210

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

LCM of:
and

Least Common Multiple of 8203 and 8210

LCM of 8203 and 8210 is 67346630

Least common multiple can be found by multiplying the highest exponent prime factors of 8203 and 8210. First we will calculate the prime factors of 8203 and 8210.

Prime Factorization of 8203


13 8203
631 631
1

Prime factors of 8203 are 13,631. Prime factorization of 8203 in exponential form is:

8203 = 131×6311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8203 and 8210.

LCM(8203,8210) = 21×51×131×6311×8211
LCM(8203,8210) = 67346630

Factors of 8203

List of positive integer factors of 8203 that divides 8203 without a remainder.

1, 13, 631, 8203

Factors of 8210

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

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

Least Common Multiple of 8203 and 8210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8203 and 8210, than apply into the LCM equation.

GCF(8203,8210) = 1
LCM(8203,8210) = ( 8203 × 8210) / 1
LCM(8203,8210) = 67346630 / 1
LCM(8203,8210) = 67346630

Properties of LCM 8203 and 8210

(i) The LCM of 8210 and 8203 is associative

LCM of 8203 and 8210 = LCM of 8210 and 8203

Related Least Common Multiples of 8203

Related Least Common Multiples of 8210

Frequently Asked Questions on LCM of 8203 and 8210

1. What is the LCM of 8203 and 8210?

Answer: LCM of 8203 and 8210 is 67346630.

2. What are the Factors of 8203?

Answer: Factors of 8203 are 1, 13, 631, 8203. There are 4 integers that are factors of 8203. The greatest factor of 8203 is 8203.

3. 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.

4. How to Find the LCM of 8203 and 8210?

Answer:

Least Common Multiple of 8203 and 8210 = 67346630

Step 1: Find the prime factorization of 8203

8203 = 13 x 631

Step 2: Find the prime factorization of 8210

8210 = 2 x 5 x 821

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

LCM = 67346630 = 2 x 5 x 13 x 631 x 821

Step 4: Therefore, the least common multiple of 8203 and 8210 is 67346630.