Least Common Multiple of 182 and 184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 182 and 184 the smallest integer that is 16744 that is divisible by both numbers.

Least Common Multiple (LCM) of 182 and 184 is 16744.

LCM(182,184) = 16744

LCM of 182 and 184

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

LCM of:
and

Least Common Multiple of 182 and 184

LCM of 182 and 184 is 16744

Least common multiple can be found by multiplying the highest exponent prime factors of 182 and 184. First we will calculate the prime factors of 182 and 184.

Prime Factorization of 182


2 182
7 91
13 13
1

Prime factors of 182 are 2, 7,13. Prime factorization of 182 in exponential form is:

182 = 21×71×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 182 and 184.

LCM(182,184) = 23×71×131×231
LCM(182,184) = 16744

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Factors of 184

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

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

Least Common Multiple of 182 and 184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 182 and 184, than apply into the LCM equation.

GCF(182,184) = 2
LCM(182,184) = ( 182 × 184) / 2
LCM(182,184) = 33488 / 2
LCM(182,184) = 16744

Properties of LCM 182 and 184

(i) The LCM of 184 and 182 is associative

LCM of 182 and 184 = LCM of 184 and 182

Related Least Common Multiples of 182

Related Least Common Multiples of 184

Frequently Asked Questions on LCM of 182 and 184

1. What is the LCM of 182 and 184?

Answer: LCM of 182 and 184 is 16744.

2. What are the Factors of 182?

Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.

3. 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.

4. How to Find the LCM of 182 and 184?

Answer:

Least Common Multiple of 182 and 184 = 16744

Step 1: Find the prime factorization of 182

182 = 2 x 7 x 13

Step 2: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

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

LCM = 16744 = 2 x 2 x 2 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 182 and 184 is 16744.