Least Common Multiple of 8182 and 8190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8182 and 8190 the smallest integer that is 33505290 that is divisible by both numbers.

Least Common Multiple (LCM) of 8182 and 8190 is 33505290.

LCM(8182,8190) = 33505290

LCM of 8182 and 8190

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

LCM of:
and

Least Common Multiple of 8182 and 8190

LCM of 8182 and 8190 is 33505290

Least common multiple can be found by multiplying the highest exponent prime factors of 8182 and 8190. First we will calculate the prime factors of 8182 and 8190.

Prime Factorization of 8182


2 8182
4091 4091
1

Prime factors of 8182 are 2,4091. Prime factorization of 8182 in exponential form is:

8182 = 21×40911

Prime Factorization of 8190


2 8190
3 4095
3 1365
5 455
7 91
13 13
1

Prime factors of 8190 are 2, 3, 5, 7,13. Prime factorization of 8190 in exponential form is:

8190 = 21×32×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8182 and 8190.

LCM(8182,8190) = 21×32×51×71×131×40911
LCM(8182,8190) = 33505290

Factors of 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1, 2, 4091, 8182

Factors of 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190

Least Common Multiple of 8182 and 8190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8182 and 8190, than apply into the LCM equation.

GCF(8182,8190) = 2
LCM(8182,8190) = ( 8182 × 8190) / 2
LCM(8182,8190) = 67010580 / 2
LCM(8182,8190) = 33505290

Properties of LCM 8182 and 8190

(i) The LCM of 8190 and 8182 is associative

LCM of 8182 and 8190 = LCM of 8190 and 8182

Related Least Common Multiples of 8182

Related Least Common Multiples of 8190

Frequently Asked Questions on LCM of 8182 and 8190

1. What is the LCM of 8182 and 8190?

Answer: LCM of 8182 and 8190 is 33505290.

2. What are the Factors of 8182?

Answer: Factors of 8182 are 1, 2, 4091, 8182. There are 4 integers that are factors of 8182. The greatest factor of 8182 is 8182.

3. What are the Factors of 8190?

Answer: Factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190. There are 48 integers that are factors of 8190. The greatest factor of 8190 is 8190.

4. How to Find the LCM of 8182 and 8190?

Answer:

Least Common Multiple of 8182 and 8190 = 33505290

Step 1: Find the prime factorization of 8182

8182 = 2 x 4091

Step 2: Find the prime factorization of 8190

8190 = 2 x 3 x 3 x 5 x 7 x 13

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

LCM = 33505290 = 2 x 3 x 3 x 5 x 7 x 13 x 4091

Step 4: Therefore, the least common multiple of 8182 and 8190 is 33505290.