Least Common Multiple of 4077 and 4085
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4077 and 4085 the smallest integer that is 16654545 that is divisible by both numbers.
Least Common Multiple (LCM) of 4077 and 4085 is 16654545.
LCM(4077,4085) = 16654545
LCM of 4077 and 4085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4077 and 4085 by Prime method
- Least Common Multiple of 4077 and 4085 with GCF Formula
LCM of 4077 and 4085 is 16654545
Least common multiple can be found by multiplying the highest exponent prime factors of 4077 and 4085. First we will calculate the prime factors of 4077 and 4085.
Prime Factorization of 4077
| 3 | 4077 |
| 3 | 1359 |
| 3 | 453 |
| 151 | 151 |
| 1 |
Prime factors of 4077 are 3,151. Prime factorization of 4077 in exponential form is:
4077 = 33×1511
Prime Factorization of 4085
| 5 | 4085 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 4085 are 5, 19,43. Prime factorization of 4085 in exponential form is:
4085 = 51×191×431
Now multiplying the highest exponent prime factors to calculate the LCM of 4077 and 4085.
LCM(4077,4085) = 33×51×191×431×1511
LCM(4077,4085) = 16654545
Factors of 4077
List of positive integer factors of 4077 that divides 4077 without a remainder.
1, 3, 9, 27, 151, 453, 1359, 4077
Factors of 4085
List of positive integer factors of 4085 that divides 4085 without a remainder.
1, 5, 19, 43, 95, 215, 817, 4085
Least Common Multiple of 4077 and 4085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4077 and 4085, than apply into the LCM equation.
GCF(4077,4085) = 1
LCM(4077,4085) = ( 4077 × 4085) / 1
LCM(4077,4085) = 16654545 / 1
LCM(4077,4085) = 16654545
Properties of LCM 4077 and 4085
(i) The LCM of 4085 and 4077 is associative
LCM of 4077 and 4085 = LCM of 4085 and 4077
Related Least Common Multiples of 4077
Related Least Common Multiples of 4085
Frequently Asked Questions on LCM of 4077 and 4085
1. What is the LCM of 4077 and 4085?
Answer: LCM of 4077 and 4085 is 16654545.
2. What are the Factors of 4077?
Answer: Factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077. There are 8 integers that are factors of 4077. The greatest factor of 4077 is 4077.
3. What are the Factors of 4085?
Answer: Factors of 4085 are 1, 5, 19, 43, 95, 215, 817, 4085. There are 8 integers that are factors of 4085. The greatest factor of 4085 is 4085.
4. How to Find the LCM of 4077 and 4085?
Answer:
Least Common Multiple of 4077 and 4085 = 16654545
Step 1: Find the prime factorization of 4077
4077 = 3 x 3 x 3 x 151
Step 2: Find the prime factorization of 4085
4085 = 5 x 19 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16654545 = 3 x 3 x 3 x 5 x 19 x 43 x 151
Step 4: Therefore, the least common multiple of 4077 and 4085 is 16654545.