Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1195 and 1198 the smallest integer that is 1431610 that is divisible by both numbers.
Least Common Multiple (LCM) of 1195 and 1198 is 1431610.
LCM(1195,1198) = 1431610
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 1195 and 1198. First we will calculate the prime factors of 1195 and 1198.
Prime Factorization of 1195
5 | 1195 |
239 | 239 |
1 |
Prime factors of 1195 are 5,239. Prime factorization of 1195 in exponential form is:
1195 = 51×2391
Prime Factorization of 1198
2 | 1198 |
599 | 599 |
1 |
Prime factors of 1198 are 2,599. Prime factorization of 1198 in exponential form is:
1198 = 21×5991
Now multiplying the highest exponent prime factors to calculate the LCM of 1195 and 1198.
LCM(1195,1198) = 21×51×2391×5991
LCM(1195,1198) = 1431610
Factors of 1195
List of positive integer factors of 1195 that divides 1195 without a remainder.
1, 5, 239, 1195
Factors of 1198
List of positive integer factors of 1198 that divides 1198 without a remainder.
1, 2, 599, 1198
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1195 and 1198, than apply into the LCM equation.
GCF(1195,1198) = 1
LCM(1195,1198) = ( 1195 × 1198) / 1
LCM(1195,1198) = 1431610 / 1
LCM(1195,1198) = 1431610
(i) The LCM of 1198 and 1195 is associative
LCM of 1195 and 1198 = LCM of 1198 and 1195
1. What is the LCM of 1195 and 1198?
Answer: LCM of 1195 and 1198 is 1431610.
2. What are the Factors of 1195?
Answer: Factors of 1195 are 1, 5, 239, 1195. There are 4 integers that are factors of 1195. The greatest factor of 1195 is 1195.
3. What are the Factors of 1198?
Answer: Factors of 1198 are 1, 2, 599, 1198. There are 4 integers that are factors of 1198. The greatest factor of 1198 is 1198.
4. How to Find the LCM of 1195 and 1198?
Answer:
Least Common Multiple of 1195 and 1198 = 1431610
Step 1: Find the prime factorization of 1195
1195 = 5 x 239
Step 2: Find the prime factorization of 1198
1198 = 2 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1431610 = 2 x 5 x 239 x 599
Step 4: Therefore, the least common multiple of 1195 and 1198 is 1431610.