Least Common Multiple of 198 and 199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 198 and 199 the smallest integer that is 39402 that is divisible by both numbers.

Least Common Multiple (LCM) of 198 and 199 is 39402.

LCM(198,199) = 39402

LCM of 198 and 199

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

LCM of:
and

Least Common Multiple of 198 and 199

LCM of 198 and 199 is 39402

Least common multiple can be found by multiplying the highest exponent prime factors of 198 and 199. First we will calculate the prime factors of 198 and 199.

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

Prime Factorization of 199


199 199
1

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 198 and 199.

LCM(198,199) = 21×32×111×1991
LCM(198,199) = 39402

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

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1, 199

Least Common Multiple of 198 and 199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 198 and 199, than apply into the LCM equation.

GCF(198,199) = 1
LCM(198,199) = ( 198 × 199) / 1
LCM(198,199) = 39402 / 1
LCM(198,199) = 39402

Properties of LCM 198 and 199

(i) The LCM of 199 and 198 is associative

LCM of 198 and 199 = LCM of 199 and 198

Related Least Common Multiples of 198

Related Least Common Multiples of 199

Frequently Asked Questions on LCM of 198 and 199

1. What is the LCM of 198 and 199?

Answer: LCM of 198 and 199 is 39402.

2. 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.

3. What are the Factors of 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

4. How to Find the LCM of 198 and 199?

Answer:

Least Common Multiple of 198 and 199 = 39402

Step 1: Find the prime factorization of 198

198 = 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 199

199 = 199

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

LCM = 39402 = 2 x 3 x 3 x 11 x 199

Step 4: Therefore, the least common multiple of 198 and 199 is 39402.