Least Common Multiple of 6077 and 6083
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6077 and 6083 the smallest integer that is 36966391 that is divisible by both numbers.
Least Common Multiple (LCM) of 6077 and 6083 is 36966391.
LCM(6077,6083) = 36966391
LCM of 6077 and 6083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6077 and 6083 by Prime method
- Least Common Multiple of 6077 and 6083 with GCF Formula
LCM of 6077 and 6083 is 36966391
Least common multiple can be found by multiplying the highest exponent prime factors of 6077 and 6083. First we will calculate the prime factors of 6077 and 6083.
Prime Factorization of 6077
| 59 | 6077 |
| 103 | 103 |
| 1 |
Prime factors of 6077 are 59,103. Prime factorization of 6077 in exponential form is:
6077 = 591×1031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6077 and 6083.
LCM(6077,6083) = 71×111×591×791×1031
LCM(6077,6083) = 36966391
Factors of 6077
List of positive integer factors of 6077 that divides 6077 without a remainder.
1, 59, 103, 6077
Factors of 6083
List of positive integer factors of 6083 that divides 6083 without a remainder.
1, 7, 11, 77, 79, 553, 869, 6083
Least Common Multiple of 6077 and 6083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6077 and 6083, than apply into the LCM equation.
GCF(6077,6083) = 1
LCM(6077,6083) = ( 6077 × 6083) / 1
LCM(6077,6083) = 36966391 / 1
LCM(6077,6083) = 36966391
Properties of LCM 6077 and 6083
(i) The LCM of 6083 and 6077 is associative
LCM of 6077 and 6083 = LCM of 6083 and 6077
Related Least Common Multiples of 6077
Related Least Common Multiples of 6083
Frequently Asked Questions on LCM of 6077 and 6083
1. What is the LCM of 6077 and 6083?
Answer: LCM of 6077 and 6083 is 36966391.
2. What are the Factors of 6077?
Answer: Factors of 6077 are 1, 59, 103, 6077. There are 4 integers that are factors of 6077. The greatest factor of 6077 is 6077.
3. 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.
4. How to Find the LCM of 6077 and 6083?
Answer:
Least Common Multiple of 6077 and 6083 = 36966391
Step 1: Find the prime factorization of 6077
6077 = 59 x 103
Step 2: Find the prime factorization of 6083
6083 = 7 x 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36966391 = 7 x 11 x 59 x 79 x 103
Step 4: Therefore, the least common multiple of 6077 and 6083 is 36966391.