Least Common Multiple of 1195 and 1199
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 1199 the smallest integer that is 1432805 that is divisible by both numbers.
Least Common Multiple (LCM) of 1195 and 1199 is 1432805.
LCM(1195,1199) = 1432805
LCM of 1195 and 1199
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1195 and 1199 by Prime method
- Least Common Multiple of 1195 and 1199 with GCF Formula
LCM of 1195 and 1199 is 1432805
Least common multiple can be found by multiplying the highest exponent prime factors of 1195 and 1199. First we will calculate the prime factors of 1195 and 1199.
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 1199
| 11 | 1199 |
| 109 | 109 |
| 1 |
Prime factors of 1199 are 11,109. Prime factorization of 1199 in exponential form is:
1199 = 111×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 1195 and 1199.
LCM(1195,1199) = 51×111×1091×2391
LCM(1195,1199) = 1432805
Factors of 1195
List of positive integer factors of 1195 that divides 1195 without a remainder.
1, 5, 239, 1195
Factors of 1199
List of positive integer factors of 1199 that divides 1199 without a remainder.
1, 11, 109, 1199
Least Common Multiple of 1195 and 1199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1195 and 1199, than apply into the LCM equation.
GCF(1195,1199) = 1
LCM(1195,1199) = ( 1195 × 1199) / 1
LCM(1195,1199) = 1432805 / 1
LCM(1195,1199) = 1432805
Properties of LCM 1195 and 1199
(i) The LCM of 1199 and 1195 is associative
LCM of 1195 and 1199 = LCM of 1199 and 1195
Related Least Common Multiples of 1195
Related Least Common Multiples of 1199
Frequently Asked Questions on LCM of 1195 and 1199
1. What is the LCM of 1195 and 1199?
Answer: LCM of 1195 and 1199 is 1432805.
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 1199?
Answer: Factors of 1199 are 1, 11, 109, 1199. There are 4 integers that are factors of 1199. The greatest factor of 1199 is 1199.
4. How to Find the LCM of 1195 and 1199?
Answer:
Least Common Multiple of 1195 and 1199 = 1432805
Step 1: Find the prime factorization of 1195
1195 = 5 x 239
Step 2: Find the prime factorization of 1199
1199 = 11 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1432805 = 5 x 11 x 109 x 239
Step 4: Therefore, the least common multiple of 1195 and 1199 is 1432805.