Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1191 and 1199 the smallest integer that is 1428009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1191 and 1199 is 1428009.
LCM(1191,1199) = 1428009
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 1191 and 1199. First we will calculate the prime factors of 1191 and 1199.
Prime Factorization of 1191
3 | 1191 |
397 | 397 |
1 |
Prime factors of 1191 are 3,397. Prime factorization of 1191 in exponential form is:
1191 = 31×3971
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 1191 and 1199.
LCM(1191,1199) = 31×111×1091×3971
LCM(1191,1199) = 1428009
Factors of 1191
List of positive integer factors of 1191 that divides 1191 without a remainder.
1, 3, 397, 1191
Factors of 1199
List of positive integer factors of 1199 that divides 1199 without a remainder.
1, 11, 109, 1199
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1191 and 1199, than apply into the LCM equation.
GCF(1191,1199) = 1
LCM(1191,1199) = ( 1191 × 1199) / 1
LCM(1191,1199) = 1428009 / 1
LCM(1191,1199) = 1428009
(i) The LCM of 1199 and 1191 is associative
LCM of 1191 and 1199 = LCM of 1199 and 1191
1. What is the LCM of 1191 and 1199?
Answer: LCM of 1191 and 1199 is 1428009.
2. What are the Factors of 1191?
Answer: Factors of 1191 are 1, 3, 397, 1191. There are 4 integers that are factors of 1191. The greatest factor of 1191 is 1191.
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 1191 and 1199?
Answer:
Least Common Multiple of 1191 and 1199 = 1428009
Step 1: Find the prime factorization of 1191
1191 = 3 x 397
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 = 1428009 = 3 x 11 x 109 x 397
Step 4: Therefore, the least common multiple of 1191 and 1199 is 1428009.