Least Common Multiple (LCM) of 160 and 85
The least common multiple (LCM) of 160 and 85 is 2720.
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 160 and 85?
First, calculate the GCD of 160 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 85 = 1 remainder 75 |
| 2 | 85 ÷ 75 = 1 remainder 10 |
| 3 | 75 ÷ 10 = 7 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 109 | 11445 |
| 131 and 12 | 1572 |
| 146 and 27 | 3942 |
| 127 and 90 | 11430 |
| 174 and 155 | 26970 |