Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1139 and 1145 the smallest integer that is 1304155 that is divisible by both numbers.
Least Common Multiple (LCM) of 1139 and 1145 is 1304155.
LCM(1139,1145) = 1304155
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 1139 and 1145. First we will calculate the prime factors of 1139 and 1145.
Prime Factorization of 1139
17 | 1139 |
67 | 67 |
1 |
Prime factors of 1139 are 17,67. Prime factorization of 1139 in exponential form is:
1139 = 171×671
Prime Factorization of 1145
5 | 1145 |
229 | 229 |
1 |
Prime factors of 1145 are 5,229. Prime factorization of 1145 in exponential form is:
1145 = 51×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 1139 and 1145.
LCM(1139,1145) = 51×171×671×2291
LCM(1139,1145) = 1304155
Factors of 1139
List of positive integer factors of 1139 that divides 1139 without a remainder.
1, 17, 67, 1139
Factors of 1145
List of positive integer factors of 1145 that divides 1145 without a remainder.
1, 5, 229, 1145
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1139 and 1145, than apply into the LCM equation.
GCF(1139,1145) = 1
LCM(1139,1145) = ( 1139 × 1145) / 1
LCM(1139,1145) = 1304155 / 1
LCM(1139,1145) = 1304155
(i) The LCM of 1145 and 1139 is associative
LCM of 1139 and 1145 = LCM of 1145 and 1139
1. What is the LCM of 1139 and 1145?
Answer: LCM of 1139 and 1145 is 1304155.
2. What are the Factors of 1139?
Answer: Factors of 1139 are 1, 17, 67, 1139. There are 4 integers that are factors of 1139. The greatest factor of 1139 is 1139.
3. What are the Factors of 1145?
Answer: Factors of 1145 are 1, 5, 229, 1145. There are 4 integers that are factors of 1145. The greatest factor of 1145 is 1145.
4. How to Find the LCM of 1139 and 1145?
Answer:
Least Common Multiple of 1139 and 1145 = 1304155
Step 1: Find the prime factorization of 1139
1139 = 17 x 67
Step 2: Find the prime factorization of 1145
1145 = 5 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1304155 = 5 x 17 x 67 x 229
Step 4: Therefore, the least common multiple of 1139 and 1145 is 1304155.