Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7177 and 7185 the smallest integer that is 51566745 that is divisible by both numbers.
Least Common Multiple (LCM) of 7177 and 7185 is 51566745.
LCM(7177,7185) = 51566745
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 7177 and 7185. First we will calculate the prime factors of 7177 and 7185.
Prime Factorization of 7177
7177 | 7177 |
1 |
Prime factors of 7177 are 7177. Prime factorization of 7177 in exponential form is:
7177 = 71771
Prime Factorization of 7185
3 | 7185 |
5 | 2395 |
479 | 479 |
1 |
Prime factors of 7185 are 3, 5,479. Prime factorization of 7185 in exponential form is:
7185 = 31×51×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 7177 and 7185.
LCM(7177,7185) = 31×51×4791×71771
LCM(7177,7185) = 51566745
Factors of 7177
List of positive integer factors of 7177 that divides 7177 without a remainder.
1, 7177
Factors of 7185
List of positive integer factors of 7185 that divides 7185 without a remainder.
1, 3, 5, 15, 479, 1437, 2395, 7185
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7177 and 7185, than apply into the LCM equation.
GCF(7177,7185) = 1
LCM(7177,7185) = ( 7177 × 7185) / 1
LCM(7177,7185) = 51566745 / 1
LCM(7177,7185) = 51566745
(i) The LCM of 7185 and 7177 is associative
LCM of 7177 and 7185 = LCM of 7185 and 7177
1. What is the LCM of 7177 and 7185?
Answer: LCM of 7177 and 7185 is 51566745.
2. What are the Factors of 7177?
Answer: Factors of 7177 are 1, 7177. There are 2 integers that are factors of 7177. The greatest factor of 7177 is 7177.
3. What are the Factors of 7185?
Answer: Factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185. There are 8 integers that are factors of 7185. The greatest factor of 7185 is 7185.
4. How to Find the LCM of 7177 and 7185?
Answer:
Least Common Multiple of 7177 and 7185 = 51566745
Step 1: Find the prime factorization of 7177
7177 = 7177
Step 2: Find the prime factorization of 7185
7185 = 3 x 5 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51566745 = 3 x 5 x 479 x 7177
Step 4: Therefore, the least common multiple of 7177 and 7185 is 51566745.