Least Common Multiple of 8180 and 8184

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 8184 the smallest integer that is 16736280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8180 and 8184 is 16736280.

LCM(8180,8184) = 16736280

LCM of 8180 and 8184

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

LCM of:
and

Least Common Multiple of 8180 and 8184

LCM of 8180 and 8184 is 16736280

Least common multiple can be found by multiplying the highest exponent prime factors of 8180 and 8184. First we will calculate the prime factors of 8180 and 8184.

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 8184


2 8184
2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 8184 are 2, 3, 11,31. Prime factorization of 8184 in exponential form is:

8184 = 23×31×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8180 and 8184.

LCM(8180,8184) = 23×31×51×111×311×4091
LCM(8180,8184) = 16736280

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 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184

Least Common Multiple of 8180 and 8184 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 8184, than apply into the LCM equation.

GCF(8180,8184) = 4
LCM(8180,8184) = ( 8180 × 8184) / 4
LCM(8180,8184) = 66945120 / 4
LCM(8180,8184) = 16736280

Properties of LCM 8180 and 8184

(i) The LCM of 8184 and 8180 is associative

LCM of 8180 and 8184 = LCM of 8184 and 8180

Related Least Common Multiples of 8180

Related Least Common Multiples of 8184

Frequently Asked Questions on LCM of 8180 and 8184

1. What is the LCM of 8180 and 8184?

Answer: LCM of 8180 and 8184 is 16736280.

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 8184?

Answer: Factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184. There are 32 integers that are factors of 8184. The greatest factor of 8184 is 8184.

4. How to Find the LCM of 8180 and 8184?

Answer:

Least Common Multiple of 8180 and 8184 = 16736280

Step 1: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

Step 2: Find the prime factorization of 8184

8184 = 2 x 2 x 2 x 3 x 11 x 31

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

LCM = 16736280 = 2 x 2 x 2 x 3 x 5 x 11 x 31 x 409

Step 4: Therefore, the least common multiple of 8180 and 8184 is 16736280.