Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1190 and 1193 the smallest integer that is 1419670 that is divisible by both numbers.
Least Common Multiple (LCM) of 1190 and 1193 is 1419670.
LCM(1190,1193) = 1419670
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 1190 and 1193. First we will calculate the prime factors of 1190 and 1193.
Prime Factorization of 1190
2 | 1190 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 1190 are 2, 5, 7,17. Prime factorization of 1190 in exponential form is:
1190 = 21×51×71×171
Prime Factorization of 1193
1193 | 1193 |
1 |
Prime factors of 1193 are 1193. Prime factorization of 1193 in exponential form is:
1193 = 11931
Now multiplying the highest exponent prime factors to calculate the LCM of 1190 and 1193.
LCM(1190,1193) = 21×51×71×171×11931
LCM(1190,1193) = 1419670
Factors of 1190
List of positive integer factors of 1190 that divides 1190 without a remainder.
1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190
Factors of 1193
List of positive integer factors of 1193 that divides 1193 without a remainder.
1, 1193
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1190 and 1193, than apply into the LCM equation.
GCF(1190,1193) = 1
LCM(1190,1193) = ( 1190 × 1193) / 1
LCM(1190,1193) = 1419670 / 1
LCM(1190,1193) = 1419670
(i) The LCM of 1193 and 1190 is associative
LCM of 1190 and 1193 = LCM of 1193 and 1190
1. What is the LCM of 1190 and 1193?
Answer: LCM of 1190 and 1193 is 1419670.
2. What are the Factors of 1190?
Answer: Factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190. There are 16 integers that are factors of 1190. The greatest factor of 1190 is 1190.
3. What are the Factors of 1193?
Answer: Factors of 1193 are 1, 1193. There are 2 integers that are factors of 1193. The greatest factor of 1193 is 1193.
4. How to Find the LCM of 1190 and 1193?
Answer:
Least Common Multiple of 1190 and 1193 = 1419670
Step 1: Find the prime factorization of 1190
1190 = 2 x 5 x 7 x 17
Step 2: Find the prime factorization of 1193
1193 = 1193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1419670 = 2 x 5 x 7 x 17 x 1193
Step 4: Therefore, the least common multiple of 1190 and 1193 is 1419670.