Least Common Multiple of 186 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 186 and 190 the smallest integer that is 17670 that is divisible by both numbers.

Least Common Multiple (LCM) of 186 and 190 is 17670.

LCM(186,190) = 17670

LCM of 186 and 190

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

LCM of:
and

Least Common Multiple of 186 and 190

LCM of 186 and 190 is 17670

Least common multiple can be found by multiplying the highest exponent prime factors of 186 and 190. First we will calculate the prime factors of 186 and 190.

Prime Factorization of 186


2 186
3 93
31 31
1

Prime factors of 186 are 2, 3,31. Prime factorization of 186 in exponential form is:

186 = 21×31×311

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 186 and 190.

LCM(186,190) = 21×31×51×191×311
LCM(186,190) = 17670

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

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 186 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 186 and 190, than apply into the LCM equation.

GCF(186,190) = 2
LCM(186,190) = ( 186 × 190) / 2
LCM(186,190) = 35340 / 2
LCM(186,190) = 17670

Properties of LCM 186 and 190

(i) The LCM of 190 and 186 is associative

LCM of 186 and 190 = LCM of 190 and 186

Related Least Common Multiples of 186

Related Least Common Multiples of 190

Frequently Asked Questions on LCM of 186 and 190

1. What is the LCM of 186 and 190?

Answer: LCM of 186 and 190 is 17670.

2. What are the Factors of 186?

Answer: Factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186. There are 8 integers that are factors of 186. The greatest factor of 186 is 186.

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 186 and 190?

Answer:

Least Common Multiple of 186 and 190 = 17670

Step 1: Find the prime factorization of 186

186 = 2 x 3 x 31

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 = 17670 = 2 x 3 x 5 x 19 x 31

Step 4: Therefore, the least common multiple of 186 and 190 is 17670.