Least Common Multiple of 188 and 190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 188 and 190 the smallest integer that is 17860 that is divisible by both numbers.

Least Common Multiple (LCM) of 188 and 190 is 17860.

LCM(188,190) = 17860

LCM of 188 and 190

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

LCM of:
and

Least Common Multiple of 188 and 190

LCM of 188 and 190 is 17860

Least common multiple can be found by multiplying the highest exponent prime factors of 188 and 190. First we will calculate the prime factors of 188 and 190.

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

Prime Factorization of 190


2 190
5 95
19 19
1

Prime factors of 190 are 2, 5,19. Prime factorization of 190 in exponential form is:

190 = 21×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 188 and 190.

LCM(188,190) = 22×51×191×471
LCM(188,190) = 17860

Factors of 188

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

1, 2, 4, 47, 94, 188

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Least Common Multiple of 188 and 190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 188 and 190, than apply into the LCM equation.

GCF(188,190) = 2
LCM(188,190) = ( 188 × 190) / 2
LCM(188,190) = 35720 / 2
LCM(188,190) = 17860

Properties of LCM 188 and 190

(i) The LCM of 190 and 188 is associative

LCM of 188 and 190 = LCM of 190 and 188

Related Least Common Multiples of 188

Related Least Common Multiples of 190

Frequently Asked Questions on LCM of 188 and 190

1. What is the LCM of 188 and 190?

Answer: LCM of 188 and 190 is 17860.

2. 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.

3. What are the Factors of 190?

Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.

4. How to Find the LCM of 188 and 190?

Answer:

Least Common Multiple of 188 and 190 = 17860

Step 1: Find the prime factorization of 188

188 = 2 x 2 x 47

Step 2: Find the prime factorization of 190

190 = 2 x 5 x 19

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

LCM = 17860 = 2 x 2 x 5 x 19 x 47

Step 4: Therefore, the least common multiple of 188 and 190 is 17860.