Least Common Multiple of 178 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 178 and 182 the smallest integer that is 16198 that is divisible by both numbers.

Least Common Multiple (LCM) of 178 and 182 is 16198.

LCM(178,182) = 16198

LCM of 178 and 182

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

LCM of:
and

Least Common Multiple of 178 and 182

LCM of 178 and 182 is 16198

Least common multiple can be found by multiplying the highest exponent prime factors of 178 and 182. First we will calculate the prime factors of 178 and 182.

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 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 178 and 182.

LCM(178,182) = 21×71×131×891
LCM(178,182) = 16198

Factors of 178

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

1, 2, 89, 178

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 178 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 178 and 182, than apply into the LCM equation.

GCF(178,182) = 2
LCM(178,182) = ( 178 × 182) / 2
LCM(178,182) = 32396 / 2
LCM(178,182) = 16198

Properties of LCM 178 and 182

(i) The LCM of 182 and 178 is associative

LCM of 178 and 182 = LCM of 182 and 178

Related Least Common Multiples of 178

Related Least Common Multiples of 182

Frequently Asked Questions on LCM of 178 and 182

1. What is the LCM of 178 and 182?

Answer: LCM of 178 and 182 is 16198.

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 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 178 and 182?

Answer:

Least Common Multiple of 178 and 182 = 16198

Step 1: Find the prime factorization of 178

178 = 2 x 89

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 = 16198 = 2 x 7 x 13 x 89

Step 4: Therefore, the least common multiple of 178 and 182 is 16198.