Least Common Multiple of 8184 and 8189

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 8189 the smallest integer that is 67018776 that is divisible by both numbers.

Least Common Multiple (LCM) of 8184 and 8189 is 67018776.

LCM(8184,8189) = 67018776

LCM of 8184 and 8189

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

LCM of:
and

Least Common Multiple of 8184 and 8189

LCM of 8184 and 8189 is 67018776

Least common multiple can be found by multiplying the highest exponent prime factors of 8184 and 8189. First we will calculate the prime factors of 8184 and 8189.

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 8189


19 8189
431 431
1

Prime factors of 8189 are 19,431. Prime factorization of 8189 in exponential form is:

8189 = 191×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 8184 and 8189.

LCM(8184,8189) = 23×31×111×191×311×4311
LCM(8184,8189) = 67018776

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 8189

List of positive integer factors of 8189 that divides 8189 without a remainder.

1, 19, 431, 8189

Least Common Multiple of 8184 and 8189 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 8189, than apply into the LCM equation.

GCF(8184,8189) = 1
LCM(8184,8189) = ( 8184 × 8189) / 1
LCM(8184,8189) = 67018776 / 1
LCM(8184,8189) = 67018776

Properties of LCM 8184 and 8189

(i) The LCM of 8189 and 8184 is associative

LCM of 8184 and 8189 = LCM of 8189 and 8184

Related Least Common Multiples of 8184

Related Least Common Multiples of 8189

Frequently Asked Questions on LCM of 8184 and 8189

1. What is the LCM of 8184 and 8189?

Answer: LCM of 8184 and 8189 is 67018776.

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 8189?

Answer: Factors of 8189 are 1, 19, 431, 8189. There are 4 integers that are factors of 8189. The greatest factor of 8189 is 8189.

4. How to Find the LCM of 8184 and 8189?

Answer:

Least Common Multiple of 8184 and 8189 = 67018776

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 8189

8189 = 19 x 431

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

LCM = 67018776 = 2 x 2 x 2 x 3 x 11 x 19 x 31 x 431

Step 4: Therefore, the least common multiple of 8184 and 8189 is 67018776.