Least Common Multiple of 8180 and 8188

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 8188 the smallest integer that is 16744460 that is divisible by both numbers.

Least Common Multiple (LCM) of 8180 and 8188 is 16744460.

LCM(8180,8188) = 16744460

LCM of 8180 and 8188

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

LCM of:
and

Least Common Multiple of 8180 and 8188

LCM of 8180 and 8188 is 16744460

Least common multiple can be found by multiplying the highest exponent prime factors of 8180 and 8188. First we will calculate the prime factors of 8180 and 8188.

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 8188


2 8188
2 4094
23 2047
89 89
1

Prime factors of 8188 are 2, 23,89. Prime factorization of 8188 in exponential form is:

8188 = 22×231×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8180 and 8188.

LCM(8180,8188) = 22×51×231×891×4091
LCM(8180,8188) = 16744460

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 8188

List of positive integer factors of 8188 that divides 8188 without a remainder.

1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188

Least Common Multiple of 8180 and 8188 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 8188, than apply into the LCM equation.

GCF(8180,8188) = 4
LCM(8180,8188) = ( 8180 × 8188) / 4
LCM(8180,8188) = 66977840 / 4
LCM(8180,8188) = 16744460

Properties of LCM 8180 and 8188

(i) The LCM of 8188 and 8180 is associative

LCM of 8180 and 8188 = LCM of 8188 and 8180

Related Least Common Multiples of 8180

Related Least Common Multiples of 8188

Frequently Asked Questions on LCM of 8180 and 8188

1. What is the LCM of 8180 and 8188?

Answer: LCM of 8180 and 8188 is 16744460.

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 8188?

Answer: Factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188. There are 12 integers that are factors of 8188. The greatest factor of 8188 is 8188.

4. How to Find the LCM of 8180 and 8188?

Answer:

Least Common Multiple of 8180 and 8188 = 16744460

Step 1: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

Step 2: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

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

LCM = 16744460 = 2 x 2 x 5 x 23 x 89 x 409

Step 4: Therefore, the least common multiple of 8180 and 8188 is 16744460.