Least Common Multiple of 8185 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 8185 and 8190 the smallest integer that is 13407030 that is divisible by both numbers.

Least Common Multiple (LCM) of 8185 and 8190 is 13407030.

LCM(8185,8190) = 13407030

LCM of 8185 and 8190

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

LCM of:
and

Least Common Multiple of 8185 and 8190

LCM of 8185 and 8190 is 13407030

Least common multiple can be found by multiplying the highest exponent prime factors of 8185 and 8190. First we will calculate the prime factors of 8185 and 8190.

Prime Factorization of 8185


5 8185
1637 1637
1

Prime factors of 8185 are 5,1637. Prime factorization of 8185 in exponential form is:

8185 = 51×16371

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 8185 and 8190.

LCM(8185,8190) = 21×32×51×71×131×16371
LCM(8185,8190) = 13407030

Factors of 8185

List of positive integer factors of 8185 that divides 8185 without a remainder.

1, 5, 1637, 8185

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 8185 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 8185 and 8190, than apply into the LCM equation.

GCF(8185,8190) = 5
LCM(8185,8190) = ( 8185 × 8190) / 5
LCM(8185,8190) = 67035150 / 5
LCM(8185,8190) = 13407030

Properties of LCM 8185 and 8190

(i) The LCM of 8190 and 8185 is associative

LCM of 8185 and 8190 = LCM of 8190 and 8185

Related Least Common Multiples of 8185

Related Least Common Multiples of 8190

Frequently Asked Questions on LCM of 8185 and 8190

1. What is the LCM of 8185 and 8190?

Answer: LCM of 8185 and 8190 is 13407030.

2. What are the Factors of 8185?

Answer: Factors of 8185 are 1, 5, 1637, 8185. There are 4 integers that are factors of 8185. The greatest factor of 8185 is 8185.

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 8185 and 8190?

Answer:

Least Common Multiple of 8185 and 8190 = 13407030

Step 1: Find the prime factorization of 8185

8185 = 5 x 1637

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 = 13407030 = 2 x 3 x 3 x 5 x 7 x 13 x 1637

Step 4: Therefore, the least common multiple of 8185 and 8190 is 13407030.