Least Common Multiple of 6077 and 6085
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 6085 the smallest integer that is 36978545 that is divisible by both numbers.
Least Common Multiple (LCM) of 6077 and 6085 is 36978545.
LCM(6077,6085) = 36978545
LCM of 6077 and 6085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6077 and 6085 by Prime method
- Least Common Multiple of 6077 and 6085 with GCF Formula
LCM of 6077 and 6085 is 36978545
Least common multiple can be found by multiplying the highest exponent prime factors of 6077 and 6085. First we will calculate the prime factors of 6077 and 6085.
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 6085
| 5 | 6085 |
| 1217 | 1217 |
| 1 |
Prime factors of 6085 are 5,1217. Prime factorization of 6085 in exponential form is:
6085 = 51×12171
Now multiplying the highest exponent prime factors to calculate the LCM of 6077 and 6085.
LCM(6077,6085) = 51×591×1031×12171
LCM(6077,6085) = 36978545
Factors of 6077
List of positive integer factors of 6077 that divides 6077 without a remainder.
1, 59, 103, 6077
Factors of 6085
List of positive integer factors of 6085 that divides 6085 without a remainder.
1, 5, 1217, 6085
Least Common Multiple of 6077 and 6085 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 6085, than apply into the LCM equation.
GCF(6077,6085) = 1
LCM(6077,6085) = ( 6077 × 6085) / 1
LCM(6077,6085) = 36978545 / 1
LCM(6077,6085) = 36978545
Properties of LCM 6077 and 6085
(i) The LCM of 6085 and 6077 is associative
LCM of 6077 and 6085 = LCM of 6085 and 6077
Related Least Common Multiples of 6077
Related Least Common Multiples of 6085
Frequently Asked Questions on LCM of 6077 and 6085
1. What is the LCM of 6077 and 6085?
Answer: LCM of 6077 and 6085 is 36978545.
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 6085?
Answer: Factors of 6085 are 1, 5, 1217, 6085. There are 4 integers that are factors of 6085. The greatest factor of 6085 is 6085.
4. How to Find the LCM of 6077 and 6085?
Answer:
Least Common Multiple of 6077 and 6085 = 36978545
Step 1: Find the prime factorization of 6077
6077 = 59 x 103
Step 2: Find the prime factorization of 6085
6085 = 5 x 1217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36978545 = 5 x 59 x 103 x 1217
Step 4: Therefore, the least common multiple of 6077 and 6085 is 36978545.