Least Common Multiple of 185 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 185 and 190 the smallest integer that is 7030 that is divisible by both numbers.

Least Common Multiple (LCM) of 185 and 190 is 7030.

LCM(185,190) = 7030

LCM of 185 and 190

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

LCM of:
and

Least Common Multiple of 185 and 190

LCM of 185 and 190 is 7030

Least common multiple can be found by multiplying the highest exponent prime factors of 185 and 190. First we will calculate the prime factors of 185 and 190.

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 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 185 and 190.

LCM(185,190) = 21×51×191×371
LCM(185,190) = 7030

Factors of 185

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

1, 5, 37, 185

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 185 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 185 and 190, than apply into the LCM equation.

GCF(185,190) = 5
LCM(185,190) = ( 185 × 190) / 5
LCM(185,190) = 35150 / 5
LCM(185,190) = 7030

Properties of LCM 185 and 190

(i) The LCM of 190 and 185 is associative

LCM of 185 and 190 = LCM of 190 and 185

Related Least Common Multiples of 185

Related Least Common Multiples of 190

Frequently Asked Questions on LCM of 185 and 190

1. What is the LCM of 185 and 190?

Answer: LCM of 185 and 190 is 7030.

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 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 185 and 190?

Answer:

Least Common Multiple of 185 and 190 = 7030

Step 1: Find the prime factorization of 185

185 = 5 x 37

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 = 7030 = 2 x 5 x 19 x 37

Step 4: Therefore, the least common multiple of 185 and 190 is 7030.