Least Common Multiple of 174 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 174 and 182 the smallest integer that is 15834 that is divisible by both numbers.

Least Common Multiple (LCM) of 174 and 182 is 15834.

LCM(174,182) = 15834

LCM of 174 and 182

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

LCM of:
and

Least Common Multiple of 174 and 182

LCM of 174 and 182 is 15834

Least common multiple can be found by multiplying the highest exponent prime factors of 174 and 182. First we will calculate the prime factors of 174 and 182.

Prime Factorization of 174


2 174
3 87
29 29
1

Prime factors of 174 are 2, 3,29. Prime factorization of 174 in exponential form is:

174 = 21×31×291

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 174 and 182.

LCM(174,182) = 21×31×71×131×291
LCM(174,182) = 15834

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 174 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 174 and 182, than apply into the LCM equation.

GCF(174,182) = 2
LCM(174,182) = ( 174 × 182) / 2
LCM(174,182) = 31668 / 2
LCM(174,182) = 15834

Properties of LCM 174 and 182

(i) The LCM of 182 and 174 is associative

LCM of 174 and 182 = LCM of 182 and 174

Related Least Common Multiples of 174

Related Least Common Multiples of 182

Frequently Asked Questions on LCM of 174 and 182

1. What is the LCM of 174 and 182?

Answer: LCM of 174 and 182 is 15834.

2. What are the Factors of 174?

Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.

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 174 and 182?

Answer:

Least Common Multiple of 174 and 182 = 15834

Step 1: Find the prime factorization of 174

174 = 2 x 3 x 29

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 = 15834 = 2 x 3 x 7 x 13 x 29

Step 4: Therefore, the least common multiple of 174 and 182 is 15834.