Least Common Multiple of 184 and 188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 184 and 188 the smallest integer that is 8648 that is divisible by both numbers.

Least Common Multiple (LCM) of 184 and 188 is 8648.

LCM(184,188) = 8648

LCM of 184 and 188

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

LCM of:
and

Least Common Multiple of 184 and 188

LCM of 184 and 188 is 8648

Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 188. First we will calculate the prime factors of 184 and 188.

Prime Factorization of 184


2 184
2 92
2 46
23 23
1

Prime factors of 184 are 2,23. Prime factorization of 184 in exponential form is:

184 = 23×231

Prime Factorization of 188


2 188
2 94
47 47
1

Prime factors of 188 are 2,47. Prime factorization of 188 in exponential form is:

188 = 22×471

Now multiplying the highest exponent prime factors to calculate the LCM of 184 and 188.

LCM(184,188) = 23×231×471
LCM(184,188) = 8648

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Least Common Multiple of 184 and 188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 184 and 188, than apply into the LCM equation.

GCF(184,188) = 4
LCM(184,188) = ( 184 × 188) / 4
LCM(184,188) = 34592 / 4
LCM(184,188) = 8648

Properties of LCM 184 and 188

(i) The LCM of 188 and 184 is associative

LCM of 184 and 188 = LCM of 188 and 184

Related Least Common Multiples of 184

Related Least Common Multiples of 188

Frequently Asked Questions on LCM of 184 and 188

1. What is the LCM of 184 and 188?

Answer: LCM of 184 and 188 is 8648.

2. What are the Factors of 184?

Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.

3. What are the Factors of 188?

Answer: Factors of 188 are 1, 2, 4, 47, 94, 188. There are 6 integers that are factors of 188. The greatest factor of 188 is 188.

4. How to Find the LCM of 184 and 188?

Answer:

Least Common Multiple of 184 and 188 = 8648

Step 1: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 188

188 = 2 x 2 x 47

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

LCM = 8648 = 2 x 2 x 2 x 23 x 47

Step 4: Therefore, the least common multiple of 184 and 188 is 8648.