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 1201 the smallest integer that is 1435195 that is divisible by both numbers.
Least Common Multiple (LCM) of 1195 and 1201 is 1435195.
LCM(1195,1201) = 1435195
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 1201. First we will calculate the prime factors of 1195 and 1201.
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 1201
1201 | 1201 |
1 |
Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:
1201 = 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 1195 and 1201.
LCM(1195,1201) = 51×2391×12011
LCM(1195,1201) = 1435195
Factors of 1195
List of positive integer factors of 1195 that divides 1195 without a remainder.
1, 5, 239, 1195
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1, 1201
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1195 and 1201, than apply into the LCM equation.
GCF(1195,1201) = 1
LCM(1195,1201) = ( 1195 × 1201) / 1
LCM(1195,1201) = 1435195 / 1
LCM(1195,1201) = 1435195
(i) The LCM of 1201 and 1195 is associative
LCM of 1195 and 1201 = LCM of 1201 and 1195
1. What is the LCM of 1195 and 1201?
Answer: LCM of 1195 and 1201 is 1435195.
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 1201?
Answer: Factors of 1201 are 1, 1201. There are 2 integers that are factors of 1201. The greatest factor of 1201 is 1201.
4. How to Find the LCM of 1195 and 1201?
Answer:
Least Common Multiple of 1195 and 1201 = 1435195
Step 1: Find the prime factorization of 1195
1195 = 5 x 239
Step 2: Find the prime factorization of 1201
1201 = 1201
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1435195 = 5 x 239 x 1201
Step 4: Therefore, the least common multiple of 1195 and 1201 is 1435195.