Least Common Multiple of 190 and 198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 190 and 198 the smallest integer that is 18810 that is divisible by both numbers.

Least Common Multiple (LCM) of 190 and 198 is 18810.

LCM(190,198) = 18810

LCM of 190 and 198

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

LCM of:
and

Least Common Multiple of 190 and 198

LCM of 190 and 198 is 18810

Least common multiple can be found by multiplying the highest exponent prime factors of 190 and 198. First we will calculate the prime factors of 190 and 198.

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

Prime Factorization of 198


2 198
3 99
3 33
11 11
1

Prime factors of 198 are 2, 3,11. Prime factorization of 198 in exponential form is:

198 = 21×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 190 and 198.

LCM(190,198) = 21×32×51×111×191
LCM(190,198) = 18810

Factors of 190

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

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

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Least Common Multiple of 190 and 198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 190 and 198, than apply into the LCM equation.

GCF(190,198) = 2
LCM(190,198) = ( 190 × 198) / 2
LCM(190,198) = 37620 / 2
LCM(190,198) = 18810

Properties of LCM 190 and 198

(i) The LCM of 198 and 190 is associative

LCM of 190 and 198 = LCM of 198 and 190

Related Least Common Multiples of 190

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 190 and 198

1. What is the LCM of 190 and 198?

Answer: LCM of 190 and 198 is 18810.

2. 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.

3. What are the Factors of 198?

Answer: Factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. There are 12 integers that are factors of 198. The greatest factor of 198 is 198.

4. How to Find the LCM of 190 and 198?

Answer:

Least Common Multiple of 190 and 198 = 18810

Step 1: Find the prime factorization of 190

190 = 2 x 5 x 19

Step 2: Find the prime factorization of 198

198 = 2 x 3 x 3 x 11

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

LCM = 18810 = 2 x 3 x 3 x 5 x 11 x 19

Step 4: Therefore, the least common multiple of 190 and 198 is 18810.