Least Common Multiple (LCM) of 159 and 160
The least common multiple (LCM) of 159 and 160 is 25440.
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 159 and 160?
First, calculate the GCD of 159 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 160 = 0 remainder 159 |
| 2 | 160 ÷ 159 = 1 remainder 1 |
| 3 | 159 ÷ 1 = 159 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 146 | 11680 |
| 161 and 15 | 2415 |
| 110 and 160 | 1760 |
| 67 and 58 | 3886 |
| 107 and 175 | 18725 |