Least Common Multiple of 187 and 188

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 188 the smallest integer that is 35156 that is divisible by both numbers.

Least Common Multiple (LCM) of 187 and 188 is 35156.

LCM(187,188) = 35156

LCM of 187 and 188

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

LCM of:
and

Least Common Multiple of 187 and 188

LCM of 187 and 188 is 35156

Least common multiple can be found by multiplying the highest exponent prime factors of 187 and 188. First we will calculate the prime factors of 187 and 188.

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 188


2 188
2 94
47 47
1

Prime factors of 188 are 2,47. Prime factorization of 188 in exponential form is:

188 = 22×471

Now multiplying the highest exponent prime factors to calculate the LCM of 187 and 188.

LCM(187,188) = 22×111×171×471
LCM(187,188) = 35156

Factors of 187

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

1, 11, 17, 187

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Least Common Multiple of 187 and 188 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 188, than apply into the LCM equation.

GCF(187,188) = 1
LCM(187,188) = ( 187 × 188) / 1
LCM(187,188) = 35156 / 1
LCM(187,188) = 35156

Properties of LCM 187 and 188

(i) The LCM of 188 and 187 is associative

LCM of 187 and 188 = LCM of 188 and 187

Related Least Common Multiples of 187

Related Least Common Multiples of 188

Frequently Asked Questions on LCM of 187 and 188

1. What is the LCM of 187 and 188?

Answer: LCM of 187 and 188 is 35156.

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 188?

Answer: Factors of 188 are 1, 2, 4, 47, 94, 188. There are 6 integers that are factors of 188. The greatest factor of 188 is 188.

4. How to Find the LCM of 187 and 188?

Answer:

Least Common Multiple of 187 and 188 = 35156

Step 1: Find the prime factorization of 187

187 = 11 x 17

Step 2: Find the prime factorization of 188

188 = 2 x 2 x 47

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

LCM = 35156 = 2 x 2 x 11 x 17 x 47

Step 4: Therefore, the least common multiple of 187 and 188 is 35156.