Least Common Multiple of 179 and 182

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 182 the smallest integer that is 32578 that is divisible by both numbers.

Least Common Multiple (LCM) of 179 and 182 is 32578.

LCM(179,182) = 32578

LCM of 179 and 182

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

LCM of:
and

Least Common Multiple of 179 and 182

LCM of 179 and 182 is 32578

Least common multiple can be found by multiplying the highest exponent prime factors of 179 and 182. First we will calculate the prime factors of 179 and 182.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 179 and 182.

LCM(179,182) = 21×71×131×1791
LCM(179,182) = 32578

Factors of 179

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

1, 179

Factors of 182

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

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

Least Common Multiple of 179 and 182 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 182, than apply into the LCM equation.

GCF(179,182) = 1
LCM(179,182) = ( 179 × 182) / 1
LCM(179,182) = 32578 / 1
LCM(179,182) = 32578

Properties of LCM 179 and 182

(i) The LCM of 182 and 179 is associative

LCM of 179 and 182 = LCM of 182 and 179

Related Least Common Multiples of 179

Related Least Common Multiples of 182

Frequently Asked Questions on LCM of 179 and 182

1. What is the LCM of 179 and 182?

Answer: LCM of 179 and 182 is 32578.

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 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.

4. How to Find the LCM of 179 and 182?

Answer:

Least Common Multiple of 179 and 182 = 32578

Step 1: Find the prime factorization of 179

179 = 179

Step 2: Find the prime factorization of 182

182 = 2 x 7 x 13

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

LCM = 32578 = 2 x 7 x 13 x 179

Step 4: Therefore, the least common multiple of 179 and 182 is 32578.