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 7182 the smallest integer that is 51545214 that is divisible by both numbers.
Least Common Multiple (LCM) of 7177 and 7182 is 51545214.
LCM(7177,7182) = 51545214
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 7182. First we will calculate the prime factors of 7177 and 7182.
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 7182
2 | 7182 |
3 | 3591 |
3 | 1197 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 7182 are 2, 3, 7,19. Prime factorization of 7182 in exponential form is:
7182 = 21×33×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 7177 and 7182.
LCM(7177,7182) = 21×33×71×191×71771
LCM(7177,7182) = 51545214
Factors of 7177
List of positive integer factors of 7177 that divides 7177 without a remainder.
1, 7177
Factors of 7182
List of positive integer factors of 7182 that divides 7182 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7177 and 7182, than apply into the LCM equation.
GCF(7177,7182) = 1
LCM(7177,7182) = ( 7177 × 7182) / 1
LCM(7177,7182) = 51545214 / 1
LCM(7177,7182) = 51545214
(i) The LCM of 7182 and 7177 is associative
LCM of 7177 and 7182 = LCM of 7182 and 7177
1. What is the LCM of 7177 and 7182?
Answer: LCM of 7177 and 7182 is 51545214.
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 7182?
Answer: Factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182. There are 32 integers that are factors of 7182. The greatest factor of 7182 is 7182.
4. How to Find the LCM of 7177 and 7182?
Answer:
Least Common Multiple of 7177 and 7182 = 51545214
Step 1: Find the prime factorization of 7177
7177 = 7177
Step 2: Find the prime factorization of 7182
7182 = 2 x 3 x 3 x 3 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51545214 = 2 x 3 x 3 x 3 x 7 x 19 x 7177
Step 4: Therefore, the least common multiple of 7177 and 7182 is 51545214.