Least Common Multiple of 196 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 196 and 198 the smallest integer that is 19404 that is divisible by both numbers.

Least Common Multiple (LCM) of 196 and 198 is 19404.

LCM(196,198) = 19404

LCM of 196 and 198

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

LCM of:
and

Least Common Multiple of 196 and 198

LCM of 196 and 198 is 19404

Least common multiple can be found by multiplying the highest exponent prime factors of 196 and 198. First we will calculate the prime factors of 196 and 198.

Prime Factorization of 196


2 196
2 98
7 49
7 7
1

Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:

196 = 22×72

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 196 and 198.

LCM(196,198) = 22×32×72×111
LCM(196,198) = 19404

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 196 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 196 and 198, than apply into the LCM equation.

GCF(196,198) = 2
LCM(196,198) = ( 196 × 198) / 2
LCM(196,198) = 38808 / 2
LCM(196,198) = 19404

Properties of LCM 196 and 198

(i) The LCM of 198 and 196 is associative

LCM of 196 and 198 = LCM of 198 and 196

Related Least Common Multiples of 196

Related Least Common Multiples of 198

Frequently Asked Questions on LCM of 196 and 198

1. What is the LCM of 196 and 198?

Answer: LCM of 196 and 198 is 19404.

2. What are the Factors of 196?

Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.

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 196 and 198?

Answer:

Least Common Multiple of 196 and 198 = 19404

Step 1: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

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 = 19404 = 2 x 2 x 3 x 3 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 196 and 198 is 19404.