Least Common Multiple of 8180 and 8185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8180 and 8185 the smallest integer that is 13390660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8180 and 8185 is 13390660.

LCM(8180,8185) = 13390660

LCM of 8180 and 8185

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

LCM of:
and

Least Common Multiple of 8180 and 8185

LCM of 8180 and 8185 is 13390660

Least common multiple can be found by multiplying the highest exponent prime factors of 8180 and 8185. First we will calculate the prime factors of 8180 and 8185.

Prime Factorization of 8180


2 8180
2 4090
5 2045
409 409
1

Prime factors of 8180 are 2, 5,409. Prime factorization of 8180 in exponential form is:

8180 = 22×51×4091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8180 and 8185.

LCM(8180,8185) = 22×51×4091×16371
LCM(8180,8185) = 13390660

Factors of 8180

List of positive integer factors of 8180 that divides 8180 without a remainder.

1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180

Factors of 8185

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

1, 5, 1637, 8185

Least Common Multiple of 8180 and 8185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8180 and 8185, than apply into the LCM equation.

GCF(8180,8185) = 5
LCM(8180,8185) = ( 8180 × 8185) / 5
LCM(8180,8185) = 66953300 / 5
LCM(8180,8185) = 13390660

Properties of LCM 8180 and 8185

(i) The LCM of 8185 and 8180 is associative

LCM of 8180 and 8185 = LCM of 8185 and 8180

Related Least Common Multiples of 8180

Related Least Common Multiples of 8185

Frequently Asked Questions on LCM of 8180 and 8185

1. What is the LCM of 8180 and 8185?

Answer: LCM of 8180 and 8185 is 13390660.

2. What are the Factors of 8180?

Answer: Factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180. There are 12 integers that are factors of 8180. The greatest factor of 8180 is 8180.

3. 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.

4. How to Find the LCM of 8180 and 8185?

Answer:

Least Common Multiple of 8180 and 8185 = 13390660

Step 1: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

Step 2: Find the prime factorization of 8185

8185 = 5 x 1637

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

LCM = 13390660 = 2 x 2 x 5 x 409 x 1637

Step 4: Therefore, the least common multiple of 8180 and 8185 is 13390660.