Least Common Multiple of 8180 and 8187

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 8187 the smallest integer that is 66969660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8180 and 8187 is 66969660.

LCM(8180,8187) = 66969660

LCM of 8180 and 8187

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

LCM of:
and

Least Common Multiple of 8180 and 8187

LCM of 8180 and 8187 is 66969660

Least common multiple can be found by multiplying the highest exponent prime factors of 8180 and 8187. First we will calculate the prime factors of 8180 and 8187.

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 8187


3 8187
2729 2729
1

Prime factors of 8187 are 3,2729. Prime factorization of 8187 in exponential form is:

8187 = 31×27291

Now multiplying the highest exponent prime factors to calculate the LCM of 8180 and 8187.

LCM(8180,8187) = 22×31×51×4091×27291
LCM(8180,8187) = 66969660

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 8187

List of positive integer factors of 8187 that divides 8187 without a remainder.

1, 3, 2729, 8187

Least Common Multiple of 8180 and 8187 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 8187, than apply into the LCM equation.

GCF(8180,8187) = 1
LCM(8180,8187) = ( 8180 × 8187) / 1
LCM(8180,8187) = 66969660 / 1
LCM(8180,8187) = 66969660

Properties of LCM 8180 and 8187

(i) The LCM of 8187 and 8180 is associative

LCM of 8180 and 8187 = LCM of 8187 and 8180

Related Least Common Multiples of 8180

Related Least Common Multiples of 8187

Frequently Asked Questions on LCM of 8180 and 8187

1. What is the LCM of 8180 and 8187?

Answer: LCM of 8180 and 8187 is 66969660.

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 8187?

Answer: Factors of 8187 are 1, 3, 2729, 8187. There are 4 integers that are factors of 8187. The greatest factor of 8187 is 8187.

4. How to Find the LCM of 8180 and 8187?

Answer:

Least Common Multiple of 8180 and 8187 = 66969660

Step 1: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

Step 2: Find the prime factorization of 8187

8187 = 3 x 2729

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

LCM = 66969660 = 2 x 2 x 3 x 5 x 409 x 2729

Step 4: Therefore, the least common multiple of 8180 and 8187 is 66969660.