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 199 the smallest integer that is 39203 that is divisible by both numbers.
Least Common Multiple (LCM) of 197 and 199 is 39203.
LCM(197,199) = 39203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 199. First we will calculate the prime factors of 197 and 199.
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 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 197 and 199.
LCM(197,199) = 1971×1991
LCM(197,199) = 39203
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1, 197
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1, 199
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 197 and 199, than apply into the LCM equation.
GCF(197,199) = 1
LCM(197,199) = ( 197 × 199) / 1
LCM(197,199) = 39203 / 1
LCM(197,199) = 39203
(i) The LCM of 199 and 197 is associative
LCM of 197 and 199 = LCM of 199 and 197
1. What is the LCM of 197 and 199?
Answer: LCM of 197 and 199 is 39203.
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 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 197 and 199?
Answer:
Least Common Multiple of 197 and 199 = 39203
Step 1: Find the prime factorization of 197
197 = 197
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 = 39203 = 197 x 199
Step 4: Therefore, the least common multiple of 197 and 199 is 39203.