Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1177 and 1181 the smallest integer that is 1390037 that is divisible by both numbers.
Least Common Multiple (LCM) of 1177 and 1181 is 1390037.
LCM(1177,1181) = 1390037
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 1177 and 1181. First we will calculate the prime factors of 1177 and 1181.
Prime Factorization of 1177
11 | 1177 |
107 | 107 |
1 |
Prime factors of 1177 are 11,107. Prime factorization of 1177 in exponential form is:
1177 = 111×1071
Prime Factorization of 1181
1181 | 1181 |
1 |
Prime factors of 1181 are 1181. Prime factorization of 1181 in exponential form is:
1181 = 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 1177 and 1181.
LCM(1177,1181) = 111×1071×11811
LCM(1177,1181) = 1390037
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1, 11, 107, 1177
Factors of 1181
List of positive integer factors of 1181 that divides 1181 without a remainder.
1, 1181
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1177 and 1181, than apply into the LCM equation.
GCF(1177,1181) = 1
LCM(1177,1181) = ( 1177 × 1181) / 1
LCM(1177,1181) = 1390037 / 1
LCM(1177,1181) = 1390037
(i) The LCM of 1181 and 1177 is associative
LCM of 1177 and 1181 = LCM of 1181 and 1177
1. What is the LCM of 1177 and 1181?
Answer: LCM of 1177 and 1181 is 1390037.
2. What are the Factors of 1177?
Answer: Factors of 1177 are 1, 11, 107, 1177. There are 4 integers that are factors of 1177. The greatest factor of 1177 is 1177.
3. What are the Factors of 1181?
Answer: Factors of 1181 are 1, 1181. There are 2 integers that are factors of 1181. The greatest factor of 1181 is 1181.
4. How to Find the LCM of 1177 and 1181?
Answer:
Least Common Multiple of 1177 and 1181 = 1390037
Step 1: Find the prime factorization of 1177
1177 = 11 x 107
Step 2: Find the prime factorization of 1181
1181 = 1181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1390037 = 11 x 107 x 1181
Step 4: Therefore, the least common multiple of 1177 and 1181 is 1390037.