Least Common Multiple of 195 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 195 and 198 the smallest integer that is 12870 that is divisible by both numbers.

Least Common Multiple (LCM) of 195 and 198 is 12870.

LCM(195,198) = 12870

LCM of 195 and 198

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

LCM of:
and

Least Common Multiple of 195 and 198

LCM of 195 and 198 is 12870

Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 198. First we will calculate the prime factors of 195 and 198.

Prime Factorization of 195


3 195
5 65
13 13
1

Prime factors of 195 are 3, 5,13. Prime factorization of 195 in exponential form is:

195 = 31×51×131

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 195 and 198.

LCM(195,198) = 21×32×51×111×131
LCM(195,198) = 12870

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 195 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 195 and 198, than apply into the LCM equation.

GCF(195,198) = 3
LCM(195,198) = ( 195 × 198) / 3
LCM(195,198) = 38610 / 3
LCM(195,198) = 12870

Properties of LCM 195 and 198

(i) The LCM of 198 and 195 is associative

LCM of 195 and 198 = LCM of 198 and 195

Related Least Common Multiples of 195

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 195 and 198

1. What is the LCM of 195 and 198?

Answer: LCM of 195 and 198 is 12870.

2. What are the Factors of 195?

Answer: Factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. There are 8 integers that are factors of 195. The greatest factor of 195 is 195.

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 195 and 198?

Answer:

Least Common Multiple of 195 and 198 = 12870

Step 1: Find the prime factorization of 195

195 = 3 x 5 x 13

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 = 12870 = 2 x 3 x 3 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 195 and 198 is 12870.