Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7182 and 7187 the smallest integer that is 51617034 that is divisible by both numbers.
Least Common Multiple (LCM) of 7182 and 7187 is 51617034.
LCM(7182,7187) = 51617034
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 7182 and 7187. First we will calculate the prime factors of 7182 and 7187.
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
Prime Factorization of 7187
7187 | 7187 |
1 |
Prime factors of 7187 are 7187. Prime factorization of 7187 in exponential form is:
7187 = 71871
Now multiplying the highest exponent prime factors to calculate the LCM of 7182 and 7187.
LCM(7182,7187) = 21×33×71×191×71871
LCM(7182,7187) = 51617034
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
Factors of 7187
List of positive integer factors of 7187 that divides 7187 without a remainder.
1, 7187
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7182 and 7187, than apply into the LCM equation.
GCF(7182,7187) = 1
LCM(7182,7187) = ( 7182 × 7187) / 1
LCM(7182,7187) = 51617034 / 1
LCM(7182,7187) = 51617034
(i) The LCM of 7187 and 7182 is associative
LCM of 7182 and 7187 = LCM of 7187 and 7182
1. What is the LCM of 7182 and 7187?
Answer: LCM of 7182 and 7187 is 51617034.
2. 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.
3. What are the Factors of 7187?
Answer: Factors of 7187 are 1, 7187. There are 2 integers that are factors of 7187. The greatest factor of 7187 is 7187.
4. How to Find the LCM of 7182 and 7187?
Answer:
Least Common Multiple of 7182 and 7187 = 51617034
Step 1: Find the prime factorization of 7182
7182 = 2 x 3 x 3 x 3 x 7 x 19
Step 2: Find the prime factorization of 7187
7187 = 7187
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51617034 = 2 x 3 x 3 x 3 x 7 x 19 x 7187
Step 4: Therefore, the least common multiple of 7182 and 7187 is 51617034.