Least Common Multiple of 185 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 185 and 188 the smallest integer that is 34780 that is divisible by both numbers.

Least Common Multiple (LCM) of 185 and 188 is 34780.

LCM(185,188) = 34780

LCM of 185 and 188

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

LCM of:
and

Least Common Multiple of 185 and 188

LCM of 185 and 188 is 34780

Least common multiple can be found by multiplying the highest exponent prime factors of 185 and 188. First we will calculate the prime factors of 185 and 188.

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 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 185 and 188.

LCM(185,188) = 22×51×371×471
LCM(185,188) = 34780

Factors of 185

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

1, 5, 37, 185

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 185 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 185 and 188, than apply into the LCM equation.

GCF(185,188) = 1
LCM(185,188) = ( 185 × 188) / 1
LCM(185,188) = 34780 / 1
LCM(185,188) = 34780

Properties of LCM 185 and 188

(i) The LCM of 188 and 185 is associative

LCM of 185 and 188 = LCM of 188 and 185

Related Least Common Multiples of 185

Related Least Common Multiples of 188

Frequently Asked Questions on LCM of 185 and 188

1. What is the LCM of 185 and 188?

Answer: LCM of 185 and 188 is 34780.

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 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 185 and 188?

Answer:

Least Common Multiple of 185 and 188 = 34780

Step 1: Find the prime factorization of 185

185 = 5 x 37

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 = 34780 = 2 x 2 x 5 x 37 x 47

Step 4: Therefore, the least common multiple of 185 and 188 is 34780.