Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1171 and 1175 the smallest integer that is 1375925 that is divisible by both numbers.
Least Common Multiple (LCM) of 1171 and 1175 is 1375925.
LCM(1171,1175) = 1375925
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 1171 and 1175. First we will calculate the prime factors of 1171 and 1175.
Prime Factorization of 1171
1171 | 1171 |
1 |
Prime factors of 1171 are 1171. Prime factorization of 1171 in exponential form is:
1171 = 11711
Prime Factorization of 1175
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 1175 are 5,47. Prime factorization of 1175 in exponential form is:
1175 = 52×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1171 and 1175.
LCM(1171,1175) = 52×471×11711
LCM(1171,1175) = 1375925
Factors of 1171
List of positive integer factors of 1171 that divides 1171 without a remainder.
1, 1171
Factors of 1175
List of positive integer factors of 1175 that divides 1175 without a remainder.
1, 5, 25, 47, 235, 1175
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1171 and 1175, than apply into the LCM equation.
GCF(1171,1175) = 1
LCM(1171,1175) = ( 1171 × 1175) / 1
LCM(1171,1175) = 1375925 / 1
LCM(1171,1175) = 1375925
(i) The LCM of 1175 and 1171 is associative
LCM of 1171 and 1175 = LCM of 1175 and 1171
1. What is the LCM of 1171 and 1175?
Answer: LCM of 1171 and 1175 is 1375925.
2. What are the Factors of 1171?
Answer: Factors of 1171 are 1, 1171. There are 2 integers that are factors of 1171. The greatest factor of 1171 is 1171.
3. What are the Factors of 1175?
Answer: Factors of 1175 are 1, 5, 25, 47, 235, 1175. There are 6 integers that are factors of 1175. The greatest factor of 1175 is 1175.
4. How to Find the LCM of 1171 and 1175?
Answer:
Least Common Multiple of 1171 and 1175 = 1375925
Step 1: Find the prime factorization of 1171
1171 = 1171
Step 2: Find the prime factorization of 1175
1175 = 5 x 5 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1375925 = 5 x 5 x 47 x 1171
Step 4: Therefore, the least common multiple of 1171 and 1175 is 1375925.