Least Common Multiple of 179 and 183

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 183 the smallest integer that is 32757 that is divisible by both numbers.

Least Common Multiple (LCM) of 179 and 183 is 32757.

LCM(179,183) = 32757

LCM of 179 and 183

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

LCM of:
and

Least Common Multiple of 179 and 183

LCM of 179 and 183 is 32757

Least common multiple can be found by multiplying the highest exponent prime factors of 179 and 183. First we will calculate the prime factors of 179 and 183.

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 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 179 and 183.

LCM(179,183) = 31×611×1791
LCM(179,183) = 32757

Factors of 179

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

1, 179

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Least Common Multiple of 179 and 183 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 183, than apply into the LCM equation.

GCF(179,183) = 1
LCM(179,183) = ( 179 × 183) / 1
LCM(179,183) = 32757 / 1
LCM(179,183) = 32757

Properties of LCM 179 and 183

(i) The LCM of 183 and 179 is associative

LCM of 179 and 183 = LCM of 183 and 179

Related Least Common Multiples of 179

Related Least Common Multiples of 183

Frequently Asked Questions on LCM of 179 and 183

1. What is the LCM of 179 and 183?

Answer: LCM of 179 and 183 is 32757.

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 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. How to Find the LCM of 179 and 183?

Answer:

Least Common Multiple of 179 and 183 = 32757

Step 1: Find the prime factorization of 179

179 = 179

Step 2: Find the prime factorization of 183

183 = 3 x 61

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

LCM = 32757 = 3 x 61 x 179

Step 4: Therefore, the least common multiple of 179 and 183 is 32757.