Least Common Multiple of 197 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 197 and 198 the smallest integer that is 39006 that is divisible by both numbers.

Least Common Multiple (LCM) of 197 and 198 is 39006.

LCM(197,198) = 39006

LCM of 197 and 198

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

LCM of:
and

Least Common Multiple of 197 and 198

LCM of 197 and 198 is 39006

Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 198. First we will calculate the prime factors of 197 and 198.

Prime Factorization of 197


197 197
1

Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:

197 = 1971

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 197 and 198.

LCM(197,198) = 21×32×111×1971
LCM(197,198) = 39006

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1, 197

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 197 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 197 and 198, than apply into the LCM equation.

GCF(197,198) = 1
LCM(197,198) = ( 197 × 198) / 1
LCM(197,198) = 39006 / 1
LCM(197,198) = 39006

Properties of LCM 197 and 198

(i) The LCM of 198 and 197 is associative

LCM of 197 and 198 = LCM of 198 and 197

Related Least Common Multiples of 197

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 197 and 198

1. What is the LCM of 197 and 198?

Answer: LCM of 197 and 198 is 39006.

2. What are the Factors of 197?

Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.

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 197 and 198?

Answer:

Least Common Multiple of 197 and 198 = 39006

Step 1: Find the prime factorization of 197

197 = 197

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 = 39006 = 2 x 3 x 3 x 11 x 197

Step 4: Therefore, the least common multiple of 197 and 198 is 39006.