Least Common Multiple of 8184 and 8186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8184 and 8186 the smallest integer that is 33497112 that is divisible by both numbers.

Least Common Multiple (LCM) of 8184 and 8186 is 33497112.

LCM(8184,8186) = 33497112

LCM of 8184 and 8186

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

LCM of:
and

Least Common Multiple of 8184 and 8186

LCM of 8184 and 8186 is 33497112

Least common multiple can be found by multiplying the highest exponent prime factors of 8184 and 8186. First we will calculate the prime factors of 8184 and 8186.

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

Prime Factorization of 8186


2 8186
4093 4093
1

Prime factors of 8186 are 2,4093. Prime factorization of 8186 in exponential form is:

8186 = 21×40931

Now multiplying the highest exponent prime factors to calculate the LCM of 8184 and 8186.

LCM(8184,8186) = 23×31×111×311×40931
LCM(8184,8186) = 33497112

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

Factors of 8186

List of positive integer factors of 8186 that divides 8186 without a remainder.

1, 2, 4093, 8186

Least Common Multiple of 8184 and 8186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8184 and 8186, than apply into the LCM equation.

GCF(8184,8186) = 2
LCM(8184,8186) = ( 8184 × 8186) / 2
LCM(8184,8186) = 66994224 / 2
LCM(8184,8186) = 33497112

Properties of LCM 8184 and 8186

(i) The LCM of 8186 and 8184 is associative

LCM of 8184 and 8186 = LCM of 8186 and 8184

Related Least Common Multiples of 8184

Related Least Common Multiples of 8186

Frequently Asked Questions on LCM of 8184 and 8186

1. What is the LCM of 8184 and 8186?

Answer: LCM of 8184 and 8186 is 33497112.

2. 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.

3. What are the Factors of 8186?

Answer: Factors of 8186 are 1, 2, 4093, 8186. There are 4 integers that are factors of 8186. The greatest factor of 8186 is 8186.

4. How to Find the LCM of 8184 and 8186?

Answer:

Least Common Multiple of 8184 and 8186 = 33497112

Step 1: Find the prime factorization of 8184

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

Step 2: Find the prime factorization of 8186

8186 = 2 x 4093

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

LCM = 33497112 = 2 x 2 x 2 x 3 x 11 x 31 x 4093

Step 4: Therefore, the least common multiple of 8184 and 8186 is 33497112.