Least Common Multiple of 182 and 187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 182 and 187 the smallest integer that is 34034 that is divisible by both numbers.

Least Common Multiple (LCM) of 182 and 187 is 34034.

LCM(182,187) = 34034

LCM of 182 and 187

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

LCM of:
and

Least Common Multiple of 182 and 187

LCM of 182 and 187 is 34034

Least common multiple can be found by multiplying the highest exponent prime factors of 182 and 187. First we will calculate the prime factors of 182 and 187.

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

Prime Factorization of 187


11 187
17 17
1

Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:

187 = 111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 182 and 187.

LCM(182,187) = 21×71×111×131×171
LCM(182,187) = 34034

Factors of 182

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

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

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Least Common Multiple of 182 and 187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 182 and 187, than apply into the LCM equation.

GCF(182,187) = 1
LCM(182,187) = ( 182 × 187) / 1
LCM(182,187) = 34034 / 1
LCM(182,187) = 34034

Properties of LCM 182 and 187

(i) The LCM of 187 and 182 is associative

LCM of 182 and 187 = LCM of 187 and 182

Related Least Common Multiples of 182

Related Least Common Multiples of 187

Frequently Asked Questions on LCM of 182 and 187

1. What is the LCM of 182 and 187?

Answer: LCM of 182 and 187 is 34034.

2. 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.

3. What are the Factors of 187?

Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.

4. How to Find the LCM of 182 and 187?

Answer:

Least Common Multiple of 182 and 187 = 34034

Step 1: Find the prime factorization of 182

182 = 2 x 7 x 13

Step 2: Find the prime factorization of 187

187 = 11 x 17

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

LCM = 34034 = 2 x 7 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 182 and 187 is 34034.