Least Common Multiple (LCM) of 85 and 43
The least common multiple (LCM) of 85 and 43 is 3655.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 85 and 43?
First, calculate the GCD of 85 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 43 = 1 remainder 42 |
| 2 | 43 ÷ 42 = 1 remainder 1 |
| 3 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 77 | 14861 |
| 111 and 188 | 20868 |
| 115 and 102 | 11730 |
| 75 and 18 | 450 |
| 59 and 127 | 7493 |