Least Common Multiple of 6182 and 6187
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 6187 the smallest integer that is 38248034 that is divisible by both numbers.
Least Common Multiple (LCM) of 6182 and 6187 is 38248034.
LCM(6182,6187) = 38248034
LCM of 6182 and 6187
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6182 and 6187 by Prime method
- Least Common Multiple of 6182 and 6187 with GCF Formula
LCM of 6182 and 6187 is 38248034
Least common multiple can be found by multiplying the highest exponent prime factors of 6182 and 6187. First we will calculate the prime factors of 6182 and 6187.
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 6187
| 23 | 6187 |
| 269 | 269 |
| 1 |
Prime factors of 6187 are 23,269. Prime factorization of 6187 in exponential form is:
6187 = 231×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 6182 and 6187.
LCM(6182,6187) = 21×111×231×2691×2811
LCM(6182,6187) = 38248034
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 6187
List of positive integer factors of 6187 that divides 6187 without a remainder.
1, 23, 269, 6187
Least Common Multiple of 6182 and 6187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6182 and 6187, than apply into the LCM equation.
GCF(6182,6187) = 1
LCM(6182,6187) = ( 6182 × 6187) / 1
LCM(6182,6187) = 38248034 / 1
LCM(6182,6187) = 38248034
Properties of LCM 6182 and 6187
(i) The LCM of 6187 and 6182 is associative
LCM of 6182 and 6187 = LCM of 6187 and 6182
Related Least Common Multiples of 6182
Related Least Common Multiples of 6187
Frequently Asked Questions on LCM of 6182 and 6187
1. What is the LCM of 6182 and 6187?
Answer: LCM of 6182 and 6187 is 38248034.
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 6187?
Answer: Factors of 6187 are 1, 23, 269, 6187. There are 4 integers that are factors of 6187. The greatest factor of 6187 is 6187.
4. How to Find the LCM of 6182 and 6187?
Answer:
Least Common Multiple of 6182 and 6187 = 38248034
Step 1: Find the prime factorization of 6182
6182 = 2 x 11 x 281
Step 2: Find the prime factorization of 6187
6187 = 23 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38248034 = 2 x 11 x 23 x 269 x 281
Step 4: Therefore, the least common multiple of 6182 and 6187 is 38248034.