Least Common Multiple of 178 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 178 and 184 the smallest integer that is 16376 that is divisible by both numbers.

Least Common Multiple (LCM) of 178 and 184 is 16376.

LCM(178,184) = 16376

LCM of 178 and 184

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

LCM of:
and

Least Common Multiple of 178 and 184

LCM of 178 and 184 is 16376

Least common multiple can be found by multiplying the highest exponent prime factors of 178 and 184. First we will calculate the prime factors of 178 and 184.

Prime Factorization of 178


2 178
89 89
1

Prime factors of 178 are 2,89. Prime factorization of 178 in exponential form is:

178 = 21×891

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 178 and 184.

LCM(178,184) = 23×231×891
LCM(178,184) = 16376

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1, 2, 89, 178

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 178 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 178 and 184, than apply into the LCM equation.

GCF(178,184) = 2
LCM(178,184) = ( 178 × 184) / 2
LCM(178,184) = 32752 / 2
LCM(178,184) = 16376

Properties of LCM 178 and 184

(i) The LCM of 184 and 178 is associative

LCM of 178 and 184 = LCM of 184 and 178

Related Least Common Multiples of 178

Related Least Common Multiples of 184

Frequently Asked Questions on LCM of 178 and 184

1. What is the LCM of 178 and 184?

Answer: LCM of 178 and 184 is 16376.

2. What are the Factors of 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

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 178 and 184?

Answer:

Least Common Multiple of 178 and 184 = 16376

Step 1: Find the prime factorization of 178

178 = 2 x 89

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 = 16376 = 2 x 2 x 2 x 23 x 89

Step 4: Therefore, the least common multiple of 178 and 184 is 16376.