Least Common Multiple of 185 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 185 and 187 the smallest integer that is 34595 that is divisible by both numbers.

Least Common Multiple (LCM) of 185 and 187 is 34595.

LCM(185,187) = 34595

LCM of 185 and 187

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

LCM of:
and

Least Common Multiple of 185 and 187

LCM of 185 and 187 is 34595

Least common multiple can be found by multiplying the highest exponent prime factors of 185 and 187. First we will calculate the prime factors of 185 and 187.

Prime Factorization of 185


5 185
37 37
1

Prime factors of 185 are 5,37. Prime factorization of 185 in exponential form is:

185 = 51×371

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 185 and 187.

LCM(185,187) = 51×111×171×371
LCM(185,187) = 34595

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Factors of 187

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

1, 11, 17, 187

Least Common Multiple of 185 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 185 and 187, than apply into the LCM equation.

GCF(185,187) = 1
LCM(185,187) = ( 185 × 187) / 1
LCM(185,187) = 34595 / 1
LCM(185,187) = 34595

Properties of LCM 185 and 187

(i) The LCM of 187 and 185 is associative

LCM of 185 and 187 = LCM of 187 and 185

Related Least Common Multiples of 185

Related Least Common Multiples of 187

Frequently Asked Questions on LCM of 185 and 187

1. What is the LCM of 185 and 187?

Answer: LCM of 185 and 187 is 34595.

2. What are the Factors of 185?

Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.

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 185 and 187?

Answer:

Least Common Multiple of 185 and 187 = 34595

Step 1: Find the prime factorization of 185

185 = 5 x 37

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 = 34595 = 5 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 185 and 187 is 34595.