Least Common Multiple of 187 and 189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 187 and 189 the smallest integer that is 35343 that is divisible by both numbers.

Least Common Multiple (LCM) of 187 and 189 is 35343.

LCM(187,189) = 35343

LCM of 187 and 189

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

LCM of:
and

Least Common Multiple of 187 and 189

LCM of 187 and 189 is 35343

Least common multiple can be found by multiplying the highest exponent prime factors of 187 and 189. First we will calculate the prime factors of 187 and 189.

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

Prime Factorization of 189


3 189
3 63
3 21
7 7
1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

Now multiplying the highest exponent prime factors to calculate the LCM of 187 and 189.

LCM(187,189) = 33×71×111×171
LCM(187,189) = 35343

Factors of 187

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

1, 11, 17, 187

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Least Common Multiple of 187 and 189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 187 and 189, than apply into the LCM equation.

GCF(187,189) = 1
LCM(187,189) = ( 187 × 189) / 1
LCM(187,189) = 35343 / 1
LCM(187,189) = 35343

Properties of LCM 187 and 189

(i) The LCM of 189 and 187 is associative

LCM of 187 and 189 = LCM of 189 and 187

Related Least Common Multiples of 187

Related Least Common Multiples of 189

Frequently Asked Questions on LCM of 187 and 189

1. What is the LCM of 187 and 189?

Answer: LCM of 187 and 189 is 35343.

2. 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.

3. What are the Factors of 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

4. How to Find the LCM of 187 and 189?

Answer:

Least Common Multiple of 187 and 189 = 35343

Step 1: Find the prime factorization of 187

187 = 11 x 17

Step 2: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

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

LCM = 35343 = 3 x 3 x 3 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 187 and 189 is 35343.