Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6182 and 6183 the smallest integer that is 38223306 that is divisible by both numbers.
Least Common Multiple (LCM) of 6182 and 6183 is 38223306.
LCM(6182,6183) = 38223306
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 6182 and 6183. First we will calculate the prime factors of 6182 and 6183.
Prime Factorization of 6182
2 | 6182 |
11 | 3091 |
281 | 281 |
1 |
Prime factors of 6182 are 2, 11,281. Prime factorization of 6182 in exponential form is:
6182 = 21×111×2811
Prime Factorization of 6183
3 | 6183 |
3 | 2061 |
3 | 687 |
229 | 229 |
1 |
Prime factors of 6183 are 3,229. Prime factorization of 6183 in exponential form is:
6183 = 33×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 6182 and 6183.
LCM(6182,6183) = 21×33×111×2291×2811
LCM(6182,6183) = 38223306
Factors of 6182
List of positive integer factors of 6182 that divides 6182 without a remainder.
1, 2, 11, 22, 281, 562, 3091, 6182
Factors of 6183
List of positive integer factors of 6183 that divides 6183 without a remainder.
1, 3, 9, 27, 229, 687, 2061, 6183
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6182 and 6183, than apply into the LCM equation.
GCF(6182,6183) = 1
LCM(6182,6183) = ( 6182 × 6183) / 1
LCM(6182,6183) = 38223306 / 1
LCM(6182,6183) = 38223306
(i) The LCM of 6183 and 6182 is associative
LCM of 6182 and 6183 = LCM of 6183 and 6182
1. What is the LCM of 6182 and 6183?
Answer: LCM of 6182 and 6183 is 38223306.
2. What are the Factors of 6182?
Answer: Factors of 6182 are 1, 2, 11, 22, 281, 562, 3091, 6182. There are 8 integers that are factors of 6182. The greatest factor of 6182 is 6182.
3. What are the Factors of 6183?
Answer: Factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183. There are 8 integers that are factors of 6183. The greatest factor of 6183 is 6183.
4. How to Find the LCM of 6182 and 6183?
Answer:
Least Common Multiple of 6182 and 6183 = 38223306
Step 1: Find the prime factorization of 6182
6182 = 2 x 11 x 281
Step 2: Find the prime factorization of 6183
6183 = 3 x 3 x 3 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38223306 = 2 x 3 x 3 x 3 x 11 x 229 x 281
Step 4: Therefore, the least common multiple of 6182 and 6183 is 38223306.