Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1133 and 1137 the smallest integer that is 1288221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1133 and 1137 is 1288221.
LCM(1133,1137) = 1288221
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 1133 and 1137. First we will calculate the prime factors of 1133 and 1137.
Prime Factorization of 1133
11 | 1133 |
103 | 103 |
1 |
Prime factors of 1133 are 11,103. Prime factorization of 1133 in exponential form is:
1133 = 111×1031
Prime Factorization of 1137
3 | 1137 |
379 | 379 |
1 |
Prime factors of 1137 are 3,379. Prime factorization of 1137 in exponential form is:
1137 = 31×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 1133 and 1137.
LCM(1133,1137) = 31×111×1031×3791
LCM(1133,1137) = 1288221
Factors of 1133
List of positive integer factors of 1133 that divides 1133 without a remainder.
1, 11, 103, 1133
Factors of 1137
List of positive integer factors of 1137 that divides 1137 without a remainder.
1, 3, 379, 1137
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1133 and 1137, than apply into the LCM equation.
GCF(1133,1137) = 1
LCM(1133,1137) = ( 1133 × 1137) / 1
LCM(1133,1137) = 1288221 / 1
LCM(1133,1137) = 1288221
(i) The LCM of 1137 and 1133 is associative
LCM of 1133 and 1137 = LCM of 1137 and 1133
1. What is the LCM of 1133 and 1137?
Answer: LCM of 1133 and 1137 is 1288221.
2. What are the Factors of 1133?
Answer: Factors of 1133 are 1, 11, 103, 1133. There are 4 integers that are factors of 1133. The greatest factor of 1133 is 1133.
3. What are the Factors of 1137?
Answer: Factors of 1137 are 1, 3, 379, 1137. There are 4 integers that are factors of 1137. The greatest factor of 1137 is 1137.
4. How to Find the LCM of 1133 and 1137?
Answer:
Least Common Multiple of 1133 and 1137 = 1288221
Step 1: Find the prime factorization of 1133
1133 = 11 x 103
Step 2: Find the prime factorization of 1137
1137 = 3 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1288221 = 3 x 11 x 103 x 379
Step 4: Therefore, the least common multiple of 1133 and 1137 is 1288221.