Least Common Multiple of 177 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 177 and 184 the smallest integer that is 32568 that is divisible by both numbers.

Least Common Multiple (LCM) of 177 and 184 is 32568.

LCM(177,184) = 32568

LCM of 177 and 184

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

LCM of:
and

Least Common Multiple of 177 and 184

LCM of 177 and 184 is 32568

Least common multiple can be found by multiplying the highest exponent prime factors of 177 and 184. First we will calculate the prime factors of 177 and 184.

Prime Factorization of 177


3 177
59 59
1

Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:

177 = 31×591

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 177 and 184.

LCM(177,184) = 23×31×231×591
LCM(177,184) = 32568

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1, 3, 59, 177

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 177 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 177 and 184, than apply into the LCM equation.

GCF(177,184) = 1
LCM(177,184) = ( 177 × 184) / 1
LCM(177,184) = 32568 / 1
LCM(177,184) = 32568

Properties of LCM 177 and 184

(i) The LCM of 184 and 177 is associative

LCM of 177 and 184 = LCM of 184 and 177

Related Least Common Multiples of 177

Related Least Common Multiples of 184

Frequently Asked Questions on LCM of 177 and 184

1. What is the LCM of 177 and 184?

Answer: LCM of 177 and 184 is 32568.

2. What are the Factors of 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

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 177 and 184?

Answer:

Least Common Multiple of 177 and 184 = 32568

Step 1: Find the prime factorization of 177

177 = 3 x 59

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 = 32568 = 2 x 2 x 2 x 3 x 23 x 59

Step 4: Therefore, the least common multiple of 177 and 184 is 32568.