Least Common Multiple of 6083 and 6087
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6083 and 6087 the smallest integer that is 37027221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6083 and 6087 is 37027221.
LCM(6083,6087) = 37027221
LCM of 6083 and 6087
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6083 and 6087 by Prime method
- Least Common Multiple of 6083 and 6087 with GCF Formula
LCM of 6083 and 6087 is 37027221
Least common multiple can be found by multiplying the highest exponent prime factors of 6083 and 6087. First we will calculate the prime factors of 6083 and 6087.
Prime Factorization of 6083
| 7 | 6083 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 6083 are 7, 11,79. Prime factorization of 6083 in exponential form is:
6083 = 71×111×791
Prime Factorization of 6087
| 3 | 6087 |
| 2029 | 2029 |
| 1 |
Prime factors of 6087 are 3,2029. Prime factorization of 6087 in exponential form is:
6087 = 31×20291
Now multiplying the highest exponent prime factors to calculate the LCM of 6083 and 6087.
LCM(6083,6087) = 31×71×111×791×20291
LCM(6083,6087) = 37027221
Factors of 6083
List of positive integer factors of 6083 that divides 6083 without a remainder.
1, 7, 11, 77, 79, 553, 869, 6083
Factors of 6087
List of positive integer factors of 6087 that divides 6087 without a remainder.
1, 3, 2029, 6087
Least Common Multiple of 6083 and 6087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6083 and 6087, than apply into the LCM equation.
GCF(6083,6087) = 1
LCM(6083,6087) = ( 6083 × 6087) / 1
LCM(6083,6087) = 37027221 / 1
LCM(6083,6087) = 37027221
Properties of LCM 6083 and 6087
(i) The LCM of 6087 and 6083 is associative
LCM of 6083 and 6087 = LCM of 6087 and 6083
Related Least Common Multiples of 6083
Related Least Common Multiples of 6087
Frequently Asked Questions on LCM of 6083 and 6087
1. What is the LCM of 6083 and 6087?
Answer: LCM of 6083 and 6087 is 37027221.
2. What are the Factors of 6083?
Answer: Factors of 6083 are 1, 7, 11, 77, 79, 553, 869, 6083. There are 8 integers that are factors of 6083. The greatest factor of 6083 is 6083.
3. What are the Factors of 6087?
Answer: Factors of 6087 are 1, 3, 2029, 6087. There are 4 integers that are factors of 6087. The greatest factor of 6087 is 6087.
4. How to Find the LCM of 6083 and 6087?
Answer:
Least Common Multiple of 6083 and 6087 = 37027221
Step 1: Find the prime factorization of 6083
6083 = 7 x 11 x 79
Step 2: Find the prime factorization of 6087
6087 = 3 x 2029
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37027221 = 3 x 7 x 11 x 79 x 2029
Step 4: Therefore, the least common multiple of 6083 and 6087 is 37027221.