Least Common Multiple of 1199 and 1205
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1199 and 1205 the smallest integer that is 1444795 that is divisible by both numbers.
Least Common Multiple (LCM) of 1199 and 1205 is 1444795.
LCM(1199,1205) = 1444795
LCM of 1199 and 1205
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1199 and 1205 by Prime method
- Least Common Multiple of 1199 and 1205 with GCF Formula
LCM of 1199 and 1205 is 1444795
Least common multiple can be found by multiplying the highest exponent prime factors of 1199 and 1205. First we will calculate the prime factors of 1199 and 1205.
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
Prime Factorization of 1205
| 5 | 1205 |
| 241 | 241 |
| 1 |
Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:
1205 = 51×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 1199 and 1205.
LCM(1199,1205) = 51×111×1091×2411
LCM(1199,1205) = 1444795
Factors of 1199
List of positive integer factors of 1199 that divides 1199 without a remainder.
1, 11, 109, 1199
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1, 5, 241, 1205
Least Common Multiple of 1199 and 1205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1199 and 1205, than apply into the LCM equation.
GCF(1199,1205) = 1
LCM(1199,1205) = ( 1199 × 1205) / 1
LCM(1199,1205) = 1444795 / 1
LCM(1199,1205) = 1444795
Properties of LCM 1199 and 1205
(i) The LCM of 1205 and 1199 is associative
LCM of 1199 and 1205 = LCM of 1205 and 1199
Related Least Common Multiples of 1199
Related Least Common Multiples of 1205
Frequently Asked Questions on LCM of 1199 and 1205
1. What is the LCM of 1199 and 1205?
Answer: LCM of 1199 and 1205 is 1444795.
2. 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.
3. What are the Factors of 1205?
Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.
4. How to Find the LCM of 1199 and 1205?
Answer:
Least Common Multiple of 1199 and 1205 = 1444795
Step 1: Find the prime factorization of 1199
1199 = 11 x 109
Step 2: Find the prime factorization of 1205
1205 = 5 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1444795 = 5 x 11 x 109 x 241
Step 4: Therefore, the least common multiple of 1199 and 1205 is 1444795.