Least Common Multiple of 8282 and 8290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8282 and 8290 the smallest integer that is 34328890 that is divisible by both numbers.

Least Common Multiple (LCM) of 8282 and 8290 is 34328890.

LCM(8282,8290) = 34328890

LCM of 8282 and 8290

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

LCM of:
and

Least Common Multiple of 8282 and 8290

LCM of 8282 and 8290 is 34328890

Least common multiple can be found by multiplying the highest exponent prime factors of 8282 and 8290. First we will calculate the prime factors of 8282 and 8290.

Prime Factorization of 8282


2 8282
41 4141
101 101
1

Prime factors of 8282 are 2, 41,101. Prime factorization of 8282 in exponential form is:

8282 = 21×411×1011

Prime Factorization of 8290


2 8290
5 4145
829 829
1

Prime factors of 8290 are 2, 5,829. Prime factorization of 8290 in exponential form is:

8290 = 21×51×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 8282 and 8290.

LCM(8282,8290) = 21×51×411×1011×8291
LCM(8282,8290) = 34328890

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1, 2, 41, 82, 101, 202, 4141, 8282

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1, 2, 5, 10, 829, 1658, 4145, 8290

Least Common Multiple of 8282 and 8290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8282 and 8290, than apply into the LCM equation.

GCF(8282,8290) = 2
LCM(8282,8290) = ( 8282 × 8290) / 2
LCM(8282,8290) = 68657780 / 2
LCM(8282,8290) = 34328890

Properties of LCM 8282 and 8290

(i) The LCM of 8290 and 8282 is associative

LCM of 8282 and 8290 = LCM of 8290 and 8282

Related Least Common Multiples of 8282

Related Least Common Multiples of 8290

Frequently Asked Questions on LCM of 8282 and 8290

1. What is the LCM of 8282 and 8290?

Answer: LCM of 8282 and 8290 is 34328890.

2. What are the Factors of 8282?

Answer: Factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282. There are 8 integers that are factors of 8282. The greatest factor of 8282 is 8282.

3. What are the Factors of 8290?

Answer: Factors of 8290 are 1, 2, 5, 10, 829, 1658, 4145, 8290. There are 8 integers that are factors of 8290. The greatest factor of 8290 is 8290.

4. How to Find the LCM of 8282 and 8290?

Answer:

Least Common Multiple of 8282 and 8290 = 34328890

Step 1: Find the prime factorization of 8282

8282 = 2 x 41 x 101

Step 2: Find the prime factorization of 8290

8290 = 2 x 5 x 829

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

LCM = 34328890 = 2 x 5 x 41 x 101 x 829

Step 4: Therefore, the least common multiple of 8282 and 8290 is 34328890.