Least Common Multiple of 179 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 179 and 184 the smallest integer that is 32936 that is divisible by both numbers.

Least Common Multiple (LCM) of 179 and 184 is 32936.

LCM(179,184) = 32936

LCM of 179 and 184

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

LCM of:
and

Least Common Multiple of 179 and 184

LCM of 179 and 184 is 32936

Least common multiple can be found by multiplying the highest exponent prime factors of 179 and 184. First we will calculate the prime factors of 179 and 184.

Prime Factorization of 179


179 179
1

Prime factors of 179 are 179. Prime factorization of 179 in exponential form is:

179 = 1791

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 179 and 184.

LCM(179,184) = 23×231×1791
LCM(179,184) = 32936

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1, 179

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 179 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 179 and 184, than apply into the LCM equation.

GCF(179,184) = 1
LCM(179,184) = ( 179 × 184) / 1
LCM(179,184) = 32936 / 1
LCM(179,184) = 32936

Properties of LCM 179 and 184

(i) The LCM of 184 and 179 is associative

LCM of 179 and 184 = LCM of 184 and 179

Related Least Common Multiples of 179

Related Least Common Multiples of 184

Frequently Asked Questions on LCM of 179 and 184

1. What is the LCM of 179 and 184?

Answer: LCM of 179 and 184 is 32936.

2. What are the Factors of 179?

Answer: Factors of 179 are 1, 179. There are 2 integers that are factors of 179. The greatest factor of 179 is 179.

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 179 and 184?

Answer:

Least Common Multiple of 179 and 184 = 32936

Step 1: Find the prime factorization of 179

179 = 179

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 = 32936 = 2 x 2 x 2 x 23 x 179

Step 4: Therefore, the least common multiple of 179 and 184 is 32936.